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Journal articles on the topic 'Regular subgroup'

Author: Grafiati
Published: 9 March 2023
Last updated: 31 July 2025

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1

Li, Baojun, Yan Wu, and Lü Gong. "On regular subgroup functors of finite groups." Open Mathematics 20, no. 1 (2022): 1838–44. http://dx.doi.org/10.1515/math-2022-0549.

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Abstract A subgroup functor τ \tau is said Φ \Phi -regular if for all primitive groups G G , whenever H ∈ τ ( G ) H\in \tau \left(G) is a p p -subgroup and N N is a minimal normal subgroup of G G , then ∣ G : N G ( H ∩ N ) ∣ = p d | G:{N}_{G}\left(H\cap N)| ={p}^{d} for some integer d d . In this article, we investigate groups in which some primary subgroups are τ \tau -subgroups for a Φ \Phi -regular subgroup functor τ \tau , and we obtain new criteria for the supersolubility or p p -nilpotency of a group.
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2

Wang, Yanpeng, Binzhou Xia, and Sanming Zhou. "Subgroup regular sets in Cayley graphs." Discrete Mathematics 345, no. 11 (2022): 113023. http://dx.doi.org/10.1016/j.disc.2022.113023.

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3

Mourad, Lougine Mostafa El-Khousht Mahmoud, Medhat Ahmed Elzainy, and Safaa Ismail Hussein. "Comparing the Effect of Activated Charcoal Whitening Agents against Regular Whitening Toothpastes on the Enamel Surface of Premolar Teeth: In vitro Study." Open Access Macedonian Journal of Medical Sciences 10, no. D (2022): 493–98. http://dx.doi.org/10.3889/oamjms.2022.11057.

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INTRODUCTION: There has been increase in demand to use natural whitening agents nowadays which include activated charcoal. Activated charcoal has gained popularity recently with various claims to its benefits that have not been proven. AIM: The aim of the study was to evaluate the effect of activated charcoal whitening agents and regular whitening tooth paste on enamel surface of first premolars and to compare between the effects of materials used. MATERIALS AND METHODS: Twenty-one mandibular first premolars were used and divided into control group: untreated teeth that were later incorporated
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4

Baumeister, Barbara. "Primitive permutation groups with a regular subgroup." Journal of Algebra 310, no. 2 (2007): 569–618. http://dx.doi.org/10.1016/j.jalgebra.2006.09.027.

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5

Pillay, Anand. "Some remarks on modular regular types." Journal of Symbolic Logic 56, no. 3 (1991): 1003–11. http://dx.doi.org/10.2307/2275067.

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Here we consider some problems concerning regular types. In the first place we consider a strongly minimal set D. One can ask what is the strength of the assumption that D has (full) elimination of imaginaries (namely, every definable set X over D has as canonical parameter some tuple from D). We show that D cannot be locally modular. Nontriviality of D is immediate. However, to exclude the locally modular nontrivial case one has to understand structures of the form G/E, where G is a modular strongly minimal group and E is a definable equivalence relation on G with finite classes. We show that
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Ahmadi, Hadi, and Bijan Taeri. "Finite groups with regular join graph of subgroups." Journal of Algebra and Its Applications 15, no. 09 (2016): 1650170. http://dx.doi.org/10.1142/s021949881650170x.

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Let [Formula: see text] be a non-trivial finite group different from a cyclic [Formula: see text]-group. The join graph of [Formula: see text] is a graph whose vertex set is the set of all proper subgroups of [Formula: see text] which are not contained in the Frattini subgroup of [Formula: see text] and two distinct vertices [Formula: see text] and [Formula: see text] are joined by an edge if and only if [Formula: see text]. In this paper we classify finite groups with regular graphs and determine their graphs.
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7

Dobson, Edward, Cai Heng Li, and Pablo Spiga. "Permutation Groups Containing a Regular Abelian Hall Subgroup." Communications in Algebra 40, no. 9 (2012): 3532–39. http://dx.doi.org/10.1080/00927872.2011.590956.

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8

Kamornikov, S. F. "On The Lattice of Regular Transitive Subgroup Functors." Siberian Mathematical Journal 51, no. 5 (2010): 824–29. http://dx.doi.org/10.1007/s11202-010-0083-7.

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9

Wang, Xiaomeng, and Shou-Jun Xu. "On subgroup regular sets in Cayley sum graphs." Discrete Mathematics 347, no. 9 (2024): 114059. http://dx.doi.org/10.1016/j.disc.2024.114059.

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10

Nakano, Tetsuo. "Regular actions of simple algebraic groups on projective threefolds." Nagoya Mathematical Journal 116 (December 1989): 139–48. http://dx.doi.org/10.1017/s0027763000001732.

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The purpose of this note is to study regular actions of simple algebraic groups on projective threefolds as an application of the theory of algebraic threefolds, especially Mori Theory and the theory of Fano threefolds (cf. Mori [11], Iskovskih [7, 8]). The motivation for this study is as follows. In a series of papers, Umemura, in part jointly with Mukai, has classified maximal connected algebraic subgroups of the Cremona group of three variables and also constructed minimal rational threefolds which correspond to such subgroups (cf. Umemura [16-19], Mukai-Ume-mura [12]). In particular, Umemu
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11

Korhonen, Mikko. "Unipotent elements forcing irreducibility in linear algebraic groups." Journal of Group Theory 21, no. 3 (2018): 365–96. http://dx.doi.org/10.1515/jgth-2018-0003.

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Abstract Let G be a simple algebraic group over an algebraically closed field K of characteristic {p>0} . We consider connected reductive subgroups X of G that contain a given distinguished unipotent element u of G. A result of Testerman and Zalesski [D. Testerman and A. Zalesski, Irreducibility in algebraic groups and regular unipotent elements, Proc. Amer. Math. Soc. 141 2013, 1, 13–28] shows that if u is a regular unipotent element, then X cannot be contained in a proper parabolic subgroup of G. We generalize their result and show that if u has order p, then except for two known examples
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12

Gould, Victoria. "Left orders in regular ℋ-Semigroups II". Glasgow Mathematical Journal 32, № 1 (1990): 95–108. http://dx.doi.org/10.1017/s0017089500009101.

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We make the convention that if a is an element of a semigroup Q then by writing a–1 it is implicit that a lies in a subgroup of Q and has inverse a–1 in this subgroup; equivalently, a ℋ a2 and a–1 is the inverse of a in Ha.A subsemigroup S of a semigroup Q is a left order in Q and Q is a semigroup of left quotients of S if every element of Q can be written as a–1b where a, b ∈ S and, in addition, every element of S satisfying a weak cancellation condition which we call square-cancellable lies in a subgroup of Q. The notions of right order and semigroup of right quotients are defined dually; if
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13

Feng, Yan-Quan, and Jin Ho Kwak. "Cubic symmetric graphs of order twice an odd prime-power." Journal of the Australian Mathematical Society 81, no. 2 (2006): 153–64. http://dx.doi.org/10.1017/s1446788700015792.

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AbstractAn automorphism group of a graph is said to be s-regular if it acts regularly on the set of s-arcs in the graph. A graph is s-regular if its full automorphism group is s-regular. For a connected cubic symmetric graph X of order 2pn for an odd prime p, we show that if p ≠ 5, 7 then every Sylow p-subgroup of the full automorphism group Aut(X) of X is normal, and if p ≠3 then every s-regular subgroup of Aut(X) having a normal Sylow p-subgroup contains an (s − 1)-regular subgroup for each 1 ≦ s ≦ 5. As an application, we show that every connected cubic symmetric graph of order 2pn is a Cay
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14

Gawron, Piotr W., and Witold Tomaszewski. "On arrangment of regular cyclic subgroup in symmetric group." Publicationes Mathematicae Debrecen 53, no. 1-2 (1998): 49–57. http://dx.doi.org/10.5486/pmd.1998.1871.

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15

Leinen, Felix. "Chief Series and Right Regular Representations of Finite p-Groups." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 44, no. 2 (1988): 225–32. http://dx.doi.org/10.1017/s1446788700029803.

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AbstractWe study the embeddings of a finite p-group U into Sylow p-subgroups of Sym (U) induced by the right regular representation p: U→ Sym(U). It turns out that there is a one-to-one correspondence between the chief series in U and the Sylow p-subgroups of Sym (U) containing Up. Here, the Sylow p-subgroup Pσ of Sym (U) correspoding to the chief series σ in U is characterized by the property that the intersections of Up with the terms of any chief series in Pσ form σp. Moreover, we see that p: U→ Pσ are precisely the kinds of embeddings used in a previous paper to construct the non-trivial c
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16

Bérczi, Gergely. "On the Popov–Pommerening conjecture for linear algebraic groups." Compositio Mathematica 154, no. 1 (2017): 36–79. http://dx.doi.org/10.1112/s0010437x17007473.

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Let $G$ be a reductive group over an algebraically closed subfield $k$ of $\mathbb{C}$ of characteristic zero, $H\subseteq G$ an observable subgroup normalised by a maximal torus of $G$ and $X$ an affine $k$-variety acted on by $G$. Popov and Pommerening conjectured in the late 1970s that the invariant algebra $k[X]^{H}$ is finitely generated. We prove the conjecture for: (1) subgroups of $\operatorname{SL}_{n}(k)$ closed under left (or right) Borel action and for: (2) a class of Borel regular subgroups of classical groups. We give a partial affirmative answer to the conjecture for general reg
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17

Kohl, Timothy. "Characteristic subgroup lattices and Hopf–Galois structures." International Journal of Algebra and Computation 29, no. 02 (2019): 391–405. http://dx.doi.org/10.1142/s0218196719500073.

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The Hopf–Galois structures on normal field extensions [Formula: see text] with [Formula: see text] are in one-to-one correspondence with the set of regular subgroups [Formula: see text] of [Formula: see text], the group of permutations of [Formula: see text] as a set, that are normalized by the left regular representation [Formula: see text]. Each such [Formula: see text] corresponds to a Hopf algebra [Formula: see text] that acts on [Formula: see text]. Such regular subgroups need not be isomorphic to [Formula: see text] but must have the same order. One can divide all such [Formula: see text
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18

Stothers, W. W. "On formulae of Macbeath and Hussein." Glasgow Mathematical Journal 31, no. 1 (1989): 65–70. http://dx.doi.org/10.1017/s0017089500007552.

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In his thesis [1], Hussein considered regular permutations of order 2 and 3 in Sn whose product is an n-cycle. For such a pair, we must havefor some g ≥ 1. Such a permutation pair corresponds to a free cycloidal subgroup of the classical modular group (see, e.g., [3]). Previously the free subgroups and the cycloidal subgroups of fixed genus had been enumerated ([4], [5]).
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19

DIGERNES, TROND, and V. S. VARADARAJAN. "MODELS FOR THE IRREDUCIBLE REPRESENTATION OF A HEISENBERG GROUP." Infinite Dimensional Analysis, Quantum Probability and Related Topics 07, no. 04 (2004): 527–46. http://dx.doi.org/10.1142/s021902570400175x.

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In its most general formulation a quantum kinematical system is described by a Heisenberg group; the "configuration space" in this case corresponds to a maximal isotropic subgroup. We study irreducible models for Heisenberg groups based on compact maximal isotropic subgroups. It is shown that if the Heisenberg group is 2-regular, but the subgroup is not, the "vacuum sector" of the irreducible representation exhibits a fermionic structure. This will be the case, for instance, in a quantum mechanical model based on the 2-adic numbers with a suitably chosen isotropic subgroup. The formulation in
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20

Agafonova, E. M., and S. Erdes. "Results of two-year follow-up of patients with coxitis and axial spondyloarthritis. The effect of therapy on the progression of coxitis. Part II." Rheumatology Science and Practice 60, no. 5 (2022): 587–93. http://dx.doi.org/10.47360/1995-4484-2022-587-593.

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Coxitis is one of the most common causes of early disability in patients with axial spondyloarthritis (axSpA), but the therapy for this condition has not been developed.Goal. to assess the effect of different treatment regimens on the manifestations of coxitis in patients with axSpA. Material and methods. We analyzed 77 patients with axSpA (ASAS criteria 2009) (23 women and 54 men) followed for at least 2 years with clinical and/or instrumental signs of coxitis. Their average age was 30.8±7.7 years with an average duration of illness of 74.0±90.3 months. Positive for HLA-B27 were 72 (94%) pati
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21

Baumeister, Barbara. "Primitive Permutation Groups of Unitary type with a regular Subgroup." Bulletin of the Belgian Mathematical Society - Simon Stevin 12, no. 5 (2006): 657–73. http://dx.doi.org/10.36045/bbms/1136902604.

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22

Li, Cai Heng. "The Finite Primitive Permutation Groups Containing an Abelian Regular Subgroup." Proceedings of the London Mathematical Society 87, no. 03 (2003): 725–47. http://dx.doi.org/10.1112/s0024611503014266.

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23

Baddeley, R. W. "Primitive Permutation Groups with a Regular Non-Abelian Normal Subgroup." Proceedings of the London Mathematical Society s3-67, no. 3 (1993): 547–95. http://dx.doi.org/10.1112/plms/s3-67.3.547.

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24

Yun, Bo-Hyeok, Hyon-Mo Shin, Mi-Jung Yun, Jung-Bo Huh, Chang-Mo Jeong, and Eun-Sook Kang. "Effect of morphology and diameter of implant fixture-abutment connection on mechanical failure of implants." Journal of The Korean Dental Association 53, no. 9 (2015): 644–55. http://dx.doi.org/10.22974/jkda.2015.53.9.006.

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Purpose: This study was conducted to evaluate the effect of the fixture abutment connection type and diameter on the screw joint stability in external butt joint for 2nd surgery and internal cone connected type implant system for 1st and 2nd surgery using ultimate fracture strength. Materials and Methods: USII system, SSII system and GSII system of Osstem Implant were used. Each system used the fixture with two different diameters and cement-retained abutments, and tungsten carbide / carbon coated abutment screws were used. Disc shaped stainless steel metal tube was attached using resin-based
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25

NEUMANN, PETER M., CHERYL E. PRAEGER, and SIMON M. SMITH. "SOME INFINITE PERMUTATION GROUPS AND RELATED FINITE LINEAR GROUPS." Journal of the Australian Mathematical Society 102, no. 1 (2016): 136–49. http://dx.doi.org/10.1017/s1446788716000343.

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This article began as a study of the structure of infinite permutation groups $G$ in which point stabilisers are finite and all infinite normal subgroups are transitive. That led to two variations. One is the generalisation in which point stabilisers are merely assumed to satisfy min-n, the minimal condition on normal subgroups. The groups $G$ are then of two kinds. Either they have a maximal finite normal subgroup, modulo which they have either one or two minimal nontrivial normal subgroups, or they have a regular normal subgroup $M$ which is a divisible abelian $p$-group of finite rank. In t
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26

AbouElwan, Yasser A., and Maher A. Alderawe. "On Strongly Regular Relation of Canonical Hypergroup." Al-Mukhtar Journal of Basic Sciences 21, no. 2 (2024): 52–57. http://dx.doi.org/10.54172/99p86m22.

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Burris and Sankappanavar established connection between congruence on group G (ring R) and normul subgroup of G (ideal of ring R). In this paper by the same manner, the connection between strongly regular relation defined on canonical hypergroup and normal subcanonical hypergroup of canonical hypergroup is established.
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27

Demil, Anneliese, Mickaël Dourcy, Mutien-Marie Garigliany, et al. "Phylogenetic Analysis of Bovine Respiratory Syncytial Virus (BRSV) Subgroups in Wallonia Region of Belgium in Relation to Current Vaccination Strategies." Vaccines 13, no. 3 (2025): 298. https://doi.org/10.3390/vaccines13030298.

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Background: Bovine respiratory syncytial virus (BRSV) is a major pathogen of the bovine respiratory disease complex and causes regular severe winter outbreaks of respiratory disease in cattle. It is therefore responsible for important economic losses for the farming industry. In this study, the genetic diversity of the circulating BRSV strains in Belgium, which has not been assessed since the end of the 1990s, was investigated. Methods: We analyzed 51 BRSV-positive samples collected from 2015 to 2023. This study is the first report on the circulation of BRSV subgroup VIII in Belgium. Furthermo
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28

Hongan, Motoshi. "Note on strongly regular near-rings." Proceedings of the Edinburgh Mathematical Society 29, no. 3 (1986): 379–81. http://dx.doi.org/10.1017/s001309150001782x.

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Let S be a semigroup. An element a of S is called right (resp. left) regular if a=a2x (resp. a=xa2) for some x∈S. If a is regular and right (resp. left) regular, a is called strongly right (resp. left) regular. As is well known, if a is strongly regular (i.e., right and left regular) then it is regular, more precisely, there exists uniquely an element x such that a= a2x,x= x2a and ax=xa, and a is contained in a subgroup of S (and conversely).
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29

Li, Cai Heng. "Permutation Groups with a Cyclic Regular Subgroup and Arc Transitive Circulants." Journal of Algebraic Combinatorics 21, no. 2 (2005): 131–36. http://dx.doi.org/10.1007/s10801-005-6903-3.

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30

Croisile, B., T. Carmoi, P. Adeleine, and M. Trillet. "Spelling in Alzheimer's disease." Behavioural Neurology 8, no. 3-4 (1995): 135–43. https://doi.org/10.1002/j.1875-8584.1995.tb00001.x.

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Forty‐two patients with Alzheimer's disease (AD) and 30 matched elderly control subjects were compared in a cross‐sectional study of spelling. On the basis of the results of regular word, non‐regular word and non‐word spelling, a cluster analysis identified four distinct AD subgroups corresponding to different degrees of spelling degradation. The first subgroup did not differ from controls on spelling performance but was impaired on descriptive writing, suggesting a loss of semantic abilities applied to writing. The other subgroups were characterized, when the overall number of misspellings in
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31

Sperandio, Adriane, Vitória Paixão, Ewin Almeida, et al. "L-glutamine supplementation improves the inflammatory profile of exercised obese elderly." Brazilian Journal of Global Health 1, no. 2 (2021): 78–86. http://dx.doi.org/10.56242/globalhealth;2021;1;2;78-86.

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OBJECTIVE: To elucidate the effect of oral L-glutamine (Gln) supplementation, associated or not with the regular practice of combined-exercise training (CET), on glycemic and lipid profile and systemic inflammatory status in elderly subjects. METHODS: 84 elderly subjects, non-practitioners (NP, n=31) and practitioners of CET (n=53), were supplemented with Gln [0.3g/kg of weight plus 10g of maltodextrin, groups: NP-Gln (n=14), and CET-Gln (n=26)], or placebo [10g of maltodextrin, groups: NP-PL (n=17), and CET-PL (n=27)]. Anthropometric and physical data were assessed. Blood sampling was collect
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32

Maulana, Amalia E., and Hadist Genta Pradana. "Regular medical checkup behaviour: preventing is better than curing." Asia Pacific Journal of Marketing and Logistics 30, no. 2 (2018): 478–94. http://dx.doi.org/10.1108/apjml-11-2016-0229.

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Purpose The purpose of this paper is to investigate the factors that drive or impede the intention of Indonesian consumers to perform regular medical checkup (MCU). Design/methodology/approach This study begins with an ethnographic study to ascertain the determinant factors that motivate or hinder an individual from performing regular MCU. The study involved stakeholders in various health services providers, including patients and medical professionals. The quantitative part of this study focuses on “preventive” segment of consumers. A survey was conducted covering 303 respondents, consisting
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33

Wood, Georgina, Sharon Evans, Kiri Pointon-Bell, Júlio César Rocha, and Anita MacDonald. "Special Low Protein Foods in the UK: An Examination of Their Macronutrient Composition in Comparison to Regular Foods." Nutrients 12, no. 6 (2020): 1893. http://dx.doi.org/10.3390/nu12061893.

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Special low protein foods (SLPFs) are essential in a low phenylalanine diet for treating phenylketonuria (PKU). With little known about their nutritional composition, all SLPFs on UK prescription were studied (n = 146) and compared to equivalent protein-containing foods (n = 190). SLPF nutritional analysis was obtained from suppliers/manufacturers. Comparable information about regular protein-containing foods was obtained from online UK supermarkets. Similar foods were grouped together, with mean nutritional values calculated for each subgroup (n = 40) and percentage differences determined bet
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34

Suksumran, Teerapong. "Left Regular Representation of Gyrogroups." Mathematics 8, no. 1 (2019): 12. http://dx.doi.org/10.3390/math8010012.

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In this article, we examine a subspace L gyr ( G ) of the complex vector space, L ( G ) = { f : f is a function from G to C } , where G is a nonassociative group-like structure called a gyrogroup. The space L gyr ( G ) arises as a representation space for G associated with the left regular representation, consisting of complex-valued functions invariant under certain permutations of G. In the case when G is finite, we prove that dim ( L gyr ( G ) ) = 1 | γ ( G ) | ∑ ρ ∈ γ ( G ) | Fix ( ρ ) | , where γ ( G ) is the subgroup of Sym ( G ) generated by a class of permutations of G and Fix ( ρ ) =
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35

Cornut, Christophe, and Jishnu Ray. "Generators of the pro-p Iwahori and Galois representations." International Journal of Number Theory 14, no. 01 (2017): 37–53. http://dx.doi.org/10.1142/s1793042118500045.

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For an odd prime [Formula: see text], we determine a minimal set of topological generators of the pro-[Formula: see text] Iwahori subgroup of a split reductive group [Formula: see text] over [Formula: see text]. In the simple adjoint case and for any sufficiently large regular prime [Formula: see text], we also construct Galois extensions of [Formula: see text] with Galois group between the pro-[Formula: see text] and the standard Iwahori subgroups of [Formula: see text].
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36

Pozdnyakova, A. A., L. A. Marchenko, N. K. Runikhina, N. V. Sharashkina, and T. Yu Ivanets. "Metabolic profile and functional state of vascular endothelium in women with various forms of premature ovarian insufficiency." Gynecology 20, no. 3 (2018): 36–41. http://dx.doi.org/10.26442/2079-5696_2018.3.36-41.

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Objective. Compare levels of biochemical and functional markers of cardiovascular risk in the molecular-genetic and autoimmune forms of premature ovarian insufficiency (POI). Materials and methods. The study included 68 women with POI, 49 of them - with molecular-genetic form (a subgroup IA), 16 women with autoimmune form (a subgroup IB), 3 women - idiopathic form (a subgroup IC), and 85 women with regular periods (group II - control). Hormonal profile, levels of biochemical and functional markers of endothelial dysfunction [total cholesterol (TC), triglycerides, low density lipoproteins (LDL)
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37

Blyth, T. S., Emília Giraldes, and M. Paula O. Marques-Smith. "Associate subgroups of orthodox semigroups." Glasgow Mathematical Journal 36, no. 2 (1994): 163–71. http://dx.doi.org/10.1017/s0017089500030706.

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A unit regular semigroup [1, 4] is a regular monoid S such that H1 ∩ A(x) ≠ Ø for every xɛS, where H1, is the group of units and A(x) = {y ɛ S; xyx = x} is the set of associates (or pre-inverses) of x. A uniquely unit regular semigroupis a regular monoid 5 such that |H1 ∩ A(x)| = 1. Here we shall consider a more general situation. Specifically, we consider a regular semigroup S and a subsemigroup T with the property that |T ∩ A(x) = 1 for every x ɛ S. We show that T is necessarily a maximal subgroup Hα for some idempotent α. When Sis orthodox, α is necessarily medial (in the sense that x = xαx
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38

Syarifudin, Abdul Gazir, and Verrel Rievaldo Wijaya. "A PYTHON CODE FOR GENERATING ALL PROPER SUBGROUPS OF DIHEDRAL GROUP." Journal of Fundamental Mathematics and Applications (JFMA) 6, no. 1 (2023): 10–17. http://dx.doi.org/10.14710/jfma.v6i1.15939.

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The dihedral group of order 2n denoted by D_2n is the symmetry group of a regular -polygon consisting of rotation and reflection elements and the composition of both elements. Like any other group, the dihedral group also have a subgroup whose numbers differs depending on the value of n. This research is conducted by studying past literature and explore a new development to a theory. In this paper, all the form of proper subgroups of D_2n will be given and all of these proper subgroups of D_2n will be generated and counted with the help of Python program.
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39

Song, Shu Jiao, Cai Heng Li, and Hua Zhang. "Finite permutation groups with a regular dihedral subgroup, and edge-transitive dihedrants." Journal of Algebra 399 (February 2014): 948–59. http://dx.doi.org/10.1016/j.jalgebra.2013.10.022.

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40

Afshar, B., and R. Ameri. "Strongly Regular Relations Derived from Fundamental Relation." Journal of Algebraic Hyperstructures and Logical Algebras 4, no. 2 (2023): 123–30. http://dx.doi.org/10.61838/kman.jahla.4.2.8.

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We introduce a new regular relation δ on a given group G and show that δ is a congurence relation on G, with respect to module the commutator subgroup of G. Then we show that the effect of this relation on the fundamental relation β is equal to the fundamental relation γ, and we conclude that, if ρ is an arbitrary strongly regular relation on the hypergroup H, then the effect of δ on ρ, results in a strongly regular relation on H such that its quotient is an abelian group.
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41

Munn, W. D. "Direct finiteness of certain monoid algebras." Proceedings of the Edinburgh Mathematical Society 39, no. 2 (1996): 365–69. http://dx.doi.org/10.1017/s0013091500023087.

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A semigroup is said to be completely regular if and only if each of its elements lies in a subgroup. It is shown that the algebra of a completely regular monoid (semigroup with identity) over a field of characteristic zero is directly finite.
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42

Loveys, James. "Abelian groups with modular generic." Journal of Symbolic Logic 56, no. 1 (1991): 250–59. http://dx.doi.org/10.2307/2274917.

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AbstractLet G be a stable abelian group with regular modular generic. We show that either1. there is a definable nongeneric K ≤ G such that G/K has definable connected component and so strongly regular generics, or2. distinct elements of the division ring yielding the dependence relation are represented by subgroups of G × G realizing distinct strong types (when regarded as elements of Geq).In the latter case one can choose almost 0-definable subgroups representing the elements of the division ring. We find a bound ((G: G0)) for the size of the division ring in case G has no definable subgroup
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43

Chen, Ruifang, and Xianhe Zhao. "On Conjugacy Class Graph of Normal Subgroup." Algebra Colloquium 29, no. 03 (2022): 437–42. http://dx.doi.org/10.1142/s1005386722000335.

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Let [Formula: see text] be a finite group and [Formula: see text] a normal subgroup of [Formula: see text]. Denote by [Formula: see text] the graph whose vertices are all distinct [Formula: see text]-conjugacy class sizes of non-central elements in [Formula: see text], and two vertices of [Formula: see text] are adjacent if and only if they are not coprime numbers. We prove that if the center [Formula: see text] and [Formula: see text]is [Formula: see text]-regular for [Formula: see text], then either a section of [Formula: see text]is a quasi-Frobenius group or [Formula: see text] is a comple
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44

Pruccoli, Jacopo, Isabelle Mack, Bea Klos, et al. "Mental Health Variables Impact Weight Loss, Especially in Patients with Obesity and Binge Eating: A Mediation Model on the Role of Eating Disorder Pathology." Nutrients 15, no. 18 (2023): 3915. http://dx.doi.org/10.3390/nu15183915.

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Background: Various mental health and eating behavior variables have been independently associated with predicting weight loss in individuals with obesity. This study aims to investigate a mediation model that assesses the distinct contributions of these variables in predicting weight changes in patients with obesity following an outpatient behavioral weight loss intervention (BWLI). Methods: General mental health (depression, anxiety, stress, impulsivity), eating behavior (cognitive restraint, disinhibition, hunger), eating disorder pathology, and body mass index (BMI) were assessed in a grou
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45

Brothier, Arnaud, and Vaughan F. R. Jones. "On the Haagerup and Kazhdan properties of R. Thompson’s groups." Journal of Group Theory 22, no. 5 (2019): 795–807. http://dx.doi.org/10.1515/jgth-2018-0114.

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Abstract A machinery developed by the second author produces a rich family of unitary representations of the Thompson groups F, T and V. We use it to give direct proofs of two previously known results. First, we exhibit a unitary representation of V that has an almost invariant vector but no nonzero {[F,F]} -invariant vectors reproving and extending Reznikoff’s result that any intermediate subgroup between the commutator subgroup of F and V does not have Kazhdan’s property (T) (though Reznikoff proved it for subgroups of T). Second, we construct a one parameter family interpolating between the
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46

Newman, M. F., and Ming-Yao Xu. "A note on regular metabelian groups of prime-power order." Bulletin of the Australian Mathematical Society 46, no. 2 (1992): 343–46. http://dx.doi.org/10.1017/s0004972700011953.

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Let p be a prime and d, e positive integers. We prove that a regular d-generator metabelian p-group whose commutator subgroup has exponent pe has nilpotency class at most e(p – 2) + 1 unless e = 1, d > 2, p > 2 when the class can be p and these bounds are best possible.
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47

Helm, Jessica, Gulcan Akgul, and Lonnie P. Wollmuth. "Subgroups of parvalbumin-expressing interneurons in layers 2/3 of the visual cortex." Journal of Neurophysiology 109, no. 6 (2013): 1600–1613. http://dx.doi.org/10.1152/jn.00782.2012.

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The input, processing, and output characteristics of inhibitory interneurons help shape information flow through layers 2/3 of the visual cortex. Parvalbumin (PV)-positive interneurons modulate and synchronize the gain and dynamic responsiveness of pyramidal neurons. To define the diversity of PV interneurons in layers 2/3 of the developing visual cortex, we characterized their passive and active membrane properties. Using Ward's and k-means multidimensional clustering, we identified four PV interneuron subgroups. The most notable difference between the subgroups was their firing patterns in r
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48

Pappas, G., and I. Zachos. "Regular integral models for Shimura varieties of orthogonal type." Compositio Mathematica 158, no. 4 (2022): 831–67. http://dx.doi.org/10.1112/s0010437x22007370.

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We consider Shimura varieties for orthogonal or spin groups acting on hermitian symmetric domains of type IV. We give regular $p$ -adic integral models for these varieties over odd primes $p$ at which the level subgroup is the connected stabilizer of a vertex lattice in the orthogonal space. Our construction is obtained by combining results of Kisin and the first author with an explicit presentation and resolution of a corresponding local model.
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49

JAMALI, A. R., and M. VISEH. "ON THE EXISTENCE OF NONINNER AUTOMORPHISMS OF ORDER TWO IN FINITE 2-GROUPS." Bulletin of the Australian Mathematical Society 87, no. 2 (2012): 278–87. http://dx.doi.org/10.1017/s0004972712000706.

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AbstractIn this paper we prove that every nonabelian finite 2-group with a cyclic commutator subgroup has a noninner automorphism of order two fixing either Φ(G) or Z(G) elementwise. This, together with a result of Peter Schmid on regular p-groups, extends our result to the class of nonabelian finite p-groups with a cyclic commutator subgroup.
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50

Szmodis, Márta, Annamária Zsákai, Gergely Blaskó, et al. "Effects of regular sport activities on stress level in sporting and non-sporting university students." Physiology International 109, no. 2 (2022): 293–304. http://dx.doi.org/10.1556/2060.2022.00096.

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Abstract Background Regular sport has favourable influence on the physical and mental state. Our aim was to analyse the relationship between regular sport activities, body parameters, cortisol level, perceived stress and the frequency of psychosomatic symptoms in male and female university students. Methods Subjects were university students (N = 200). They were divided in sporting (more than 7 h week−1: 56 males (sm), 50 females (sf)) and non-sporting (less than 3 h week−1: 44 males (nsm) and 50 females (nsf)) groups. Body composition was estimated by Inbody720-analyser. Stress levels were mea
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