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Journal articles on the topic 'Wreath'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Santagati, Elena. "I re macedoni e le due corone di Zeus." Electrum 30 (June 26, 2023): 55–74. http://dx.doi.org/10.4467/10.4467/20800909el.23.003.17320.

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The Macedonian Kings and the Two Wreaths of Zeus This paper aims to investigate the reasons why, since the reign of Philip II, the “national” Zeus, venerated on Olympus and Dion and characterized by the oak crown, was abandoned in favor of the Olympian Zeus of Elis, characterized by the olive/oleaster wreath. We notice that while the members of the royal family display, in life and death, an oak wreath as an insignia of their kingship, and at the same time also as a symbol of their highest divinity, the kings themselves issue the image of the panhellenic god with an olive/laurel wreath on thei

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2

Santagati, Elena. "I re macedoni e le due corone di Zeus." Electrum 30 (June 26, 2023): 55–74. http://dx.doi.org/10.4467/20800909el.23.003.17320.

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The Macedonian Kings and the Two Wreaths of Zeus This paper aims to investigate the reasons why, since the reign of Philip II, the “national” Zeus, venerated on Olympus and Dion and characterized by the oak crown, was abandoned in favor of the Olympian Zeus of Elis, characterized by the olive/oleaster wreath. We notice that while the members of the royal family display, in life and death, an oak wreath as an insignia of their kingship, and at the same time also as a symbol of their highest divinity, the kings themselves issue the image of the panhellenic god with an olive/laurel wreath on thei

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3

Kyriakou, Athanasia. "EXCEPTIONAL BURIALS AT THE SANCTUARY OF EUKLEIA AT AEGAE (VERGINA): THE GOLD OAK WREATH." Annual of the British School at Athens 109 (November 2014): 251–85. http://dx.doi.org/10.1017/s0068245414000082.

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This article focuses on a recent find from the archaeological site of Vergina, which is identified as the old capital of the Macedonian kingdom, Aegae. In the surroundings of a sanctuary three burials were discovered with outstanding components. One of them, a gold oak wreath, constitutes the object of investigation. At the outset of the study the excavation site and the data of the discovery of the burials are outlined. Then the wreath is analytically presented in terms of typology, technology, craftsmanship and style. In order to incorporate it in a network of precious artefacts, the other f

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4

Budkin, A. I. "Quasivarieties of groups closed under wreath products and wreathZ-products." Algebra and Logic 38, no. 3 (1999): 137–43. http://dx.doi.org/10.1007/bf02671738.

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5

Alharbi, Bashayer S., and Ahmad M. Alghamdi. "The Wreath Product of Powerful p-Groups." Symmetry 15, no. 11 (2023): 1987. http://dx.doi.org/10.3390/sym15111987.

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This study provides a scholarly examination of fundamental concepts within the field of group theory, specifically focusing on topics such as the wreath product and powerful p-groups. We examine the characteristics pertaining to the structure of the wreath product of cyclic p-groups, with a specific focus on the groups that are powerfully embedded within it. The primary discovery pertains to the construction of the powerful wreath product and the quasi-powerful wreath product. In this study, we establish that subgroups are powerful within the wreath product, specifically focusing on p-groups.

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6

Wan, Jinkui. "Wreath Hecke algebras and centralizer construction for wreath products." Journal of Algebra 323, no. 9 (2010): 2371–97. http://dx.doi.org/10.1016/j.jalgebra.2010.02.020.

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7

Kovács, L. G. "Wreath decompositions of finite permutation groups." Bulletin of the Australian Mathematical Society 40, no. 2 (1989): 255–79. http://dx.doi.org/10.1017/s0004972700004366.

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There is a familiar construction with two finite, transitive permutation groups as input and a finite, transitive permutation group, called their wreath product, as output. The corresponding ‘imprimitive wreath decomposition’ concept is the first subject of this paper. A formal definition is adopted and an overview obtained for all such decompositions of any given finite, transitive group. The result may be heuristically expressed as follows, exploiting the associative nature of the construction. Each finite transitive permutation group may be written, essentially uniquely, as the wreath produ

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8

Guo, Xiaojiang, Chenchen Ren, and K. P. Shum. "Dual Wreath Product Structure of Right C-rpp Semigroups." Algebra Colloquium 14, no. 02 (2007): 285–94. http://dx.doi.org/10.1142/s1005386707000284.

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The concept of wreath product of semigroups was initiated by Neumann in 1960, and later on, his concept was used by Preston to investigate the structure of some inverse semigroups. Recently, we start to investigate the structure of left C-rpp semigroups by using wreath products. In this paper, we modify the wreath product to “dual wreath product” so that we can study the structure of right C-rpp semigroups. We prove that a semigroup is a right C-rpp semigroup if and only if it is the dual wreath product of a right regular band and a C-rpp semigroup. Our theorem provides new insight to the stru

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9

Mikaelian, Vahagn H. "Subvariety structures in certain product varieties of groups." Journal of Group Theory 21, no. 5 (2018): 865–84. http://dx.doi.org/10.1515/jgth-2018-0017.

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Abstract We classify certain cases when the wreath products of distinct pairs of groups generate the same variety. This allows us to investigate the subvarieties of some nilpotent-by-abelian product varieties {{\mathfrak{U}}{\mathfrak{V}}} with the help of wreath products of groups. In particular, using wreath products, we find such subvarieties in nilpotent-by-abelian {{\mathfrak{U}}{\mathfrak{V}}} , which have the same nilpotency class, the same length of solubility, and the same exponent, but which still are distinct subvarieties. The classification we obtain strengthens our recent work on

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10

Tsigarida, Bettina. "A New Gold Myrtle Wreath from Central Macedonia in the Collection of the Archaeological Museum of Thessaloniki." Annual of the British School at Athens 105 (November 2010): 305–15. http://dx.doi.org/10.1017/s0068245400000435.

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A gold myrtle wreath was acquired by the Jean Paul Getty Museum in 1993, and returned to Greece in 2007: it is now housed in the collection of the Archaeological Museum of Thessaloniki (inv. no. ΜΘ 24000). While its technical features and methods of manufacture have already been discussed in previous publications, this article focuses on provenance, dating, and comparisons. On the basis of a detailed structural analysis and parallels for this wreath, the author suggests Central Macedonia as its provenance and a date towards the end of the 4th century bc. This is the eighth myrtle wreath from t

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11

Gorup, Radmila J., Petar Petrovic Njegos, and Vasa D. Mihailovich. "The Mountain Wreath." Slavic and East European Journal 36, no. 2 (1992): 261. http://dx.doi.org/10.2307/308990.

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12

Glass, A. M. W., and Reinhard Winkler. "Rooted wreath products." Journal of Algebra 273, no. 2 (2004): 489–506. http://dx.doi.org/10.1016/j.jalgebra.2003.09.003.

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13

Lucchini, Andrea. "Generating wreath products." Archiv der Mathematik 62, no. 6 (1994): 481–90. http://dx.doi.org/10.1007/bf01193733.

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14

QUICK, MARTYN. "PROBABILISTIC GENERATION OF WREATH PRODUCTS OF NON-ABELIAN FINITE SIMPLE GROUPS, II." International Journal of Algebra and Computation 16, no. 03 (2006): 493–503. http://dx.doi.org/10.1142/s0218196706003074.

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We show that the probability of generating an iterated wreath product of non-abelian finite simple groups converges to 1 as the order of the first simple group tends to infinity provided the wreath products are constructed with transitive and faithful actions. This has the consequence that the profinite group which is the inverse limit of these iterated wreath products is positively finitely generated.

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15

EROVENKO, IGOR V., and B. SURY. "COMMUTATIVITY DEGREES OF WREATH PRODUCTS OF FINITE ABELIAN GROUPS." Bulletin of the Australian Mathematical Society 77, no. 1 (2008): 31–36. http://dx.doi.org/10.1017/s0004972708000038.

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AbstractWe compute commutativity degrees of wreath products $A \wr B$ of finite Abelian groups A and B. When B is fixed of order n the asymptotic commutativity degree of such wreath products is 1/n2. This answers a generalized version of a question posed by P. Lescot. As byproducts of our formula we compute the number of conjugacy classes in such wreath products, and obtain an interesting elementary number-theoretic result.

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16

Linnik, Yury. "Somnambulistic (A Wreath of Sonnets by M.A. Voloshin «Lunaria»)." Izvestia of Smolensk State University, no. 4(64) (April 2, 2024): 5–11. http://dx.doi.org/10.35785/2072-9464-2023-64-4-5-11.

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Shortly before his death, the outstanding stephanist and stephanologist from Petrozavodsk, Yuri Vladimirovich Linnik, sent me, as the Chairman of the International Scientific and Creative Seminar School of the Sonnet, two of his poetological essays for publication in the next issue of the almanac «Wreath of Sonnetologists and Sonnetists». The received grant makes it possible to publish both the essays themselves and the comments adequate to them. Both of them are devoted to the pioneering experiments of Maximilian Voloshin, the author of two wreaths –«Corona Astralis», 1909, and «Lunaria

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17

Priestly, Tom. "Translating Prešeren's ‘Wreath of Sonnets’: Formal Aspects." TranscUlturAl: A Journal of Translation and Cultural Studies 5, no. 1-2 (2014): 116. http://dx.doi.org/10.21992/t9fw55.

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This article describes and evaluates a co-authored translation of France Prešeren’s “Sonetni venec [A Wreath of Sonnets]” (1834), which has been translated once before into English, namely by Vivian de Sola Pinto in 1954. Having sketched the background to the undertaking, the author describes the structure of “Wreaths of Sonnets” in general and mentions some examples from English literature. He then places “Sonetni venec” in Prešeren’s oeuvre. Next, he exemplifies two other translations of “Wreaths” into English (one from Danish, the second from Czech). Most of the article is devoted to the st

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18

EL KAOUTIT, L. "EXTENDED DISTRIBUTIVE LAW: COWREATH OVER CORINGS." Journal of Algebra and Its Applications 09, no. 01 (2010): 135–71. http://dx.doi.org/10.1142/s021949881000380x.

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We introduce and study comodules over cowreath defined over a given coring. If our coring arises from an entwining structure, we then give a procedure to construct a cowreath from a given cowreath over the factor coalgebra. We also include the dual notions, that is, wreaths over ring extension and their modules. In particular, we show that the study of twisted algebras and twisted bimodules already introduced in [A. Čap, H. Schichl and J. Vanžura, On twisted tensor products of algebras, Commun. Algebra23 (1995) 4701–4735] has its origin in the study of wreath and their bimodules.

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19

Taylor, Lloyd Walter Hart. "The Susa Wreath Group Alexanders: The First Step in the Transformation of an Anchor Seal to a Dynastic Emblem." KOINON II (2019) (November 1, 2019): 63–82. https://doi.org/10.5281/zenodo.5746178.

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A tetradrachm die study of the Susa wreath group (Susa Group 5) of Alexanders (Price 3853-60) attributed to the satrapy of Aspeisas in the period 316/5-312/1 BC, indicates that the coinage should be downdated to the period 311/0-309/8 BC, the earliest coinage of Seleukos from the mint. A newly identified component of the coinage, die linked to the wreath group while bearing an anchor recut over the wreath, represents the first appearance on coinage of what was to become the primary Seleukid dynastic emblem. It sheds light on the origin and timing of placement of Seleukos's personal insigni

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20

Guo, Xiaojiang, Ming Zhao, and K. P. Shum. "Wreath Product Structure of Left C-rpp Semigroups." Algebra Colloquium 15, no. 01 (2008): 101–8. http://dx.doi.org/10.1142/s1005386708000102.

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The concept of wreath product of semigroups was first introduced by Neumann in 1960, and later on, this concept was used by Preston to investigate the structure of some inverse semigroups. In this paper, we modify the wreath product given by Neumann and Preston to study the structure of some generalized Clifford semigroups. In particular, we prove that a semigroup is a left C-rpp semigroup if and only if it is the wreath product of a left regular band and a C-rpp semigroup. Our result provides a new insight to the structure of left C-rpp semigroups.

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21

Banerjee, Maria Němcová, Jaroslav Seifert, J. K. Klement, et al. "A Wreath of Sonnets." World Literature Today 62, no. 3 (1988): 476. http://dx.doi.org/10.2307/40144403.

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22

Dadarlat, Marius, Ulrich Pennig, and Andrew Schneider. "Deformations of wreath products." Bulletin of the London Mathematical Society 49, no. 1 (2016): 23–32. http://dx.doi.org/10.1112/blms.12008.

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23

D'Angeli, Daniele, and Alfredo Donno. "Wreath product of matrices." Linear Algebra and its Applications 513 (January 2017): 276–303. http://dx.doi.org/10.1016/j.laa.2016.10.023.

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24

Wehrfritz, B. A. F. "Finitarily linear wreath products." Proceedings of the Edinburgh Mathematical Society 43, no. 1 (2000): 27–41. http://dx.doi.org/10.1017/s0013091500020678.

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AbstractWe consider faithful finitary linear representations of (generalized) wreath products A wrΩH of groups A by H over (potentially) infinite-dimensional vector spaces, having previously considered completely reducible such representations in an earlier paper. The simpler the structure of A the more complex, it seems, these representations can become. If A has no non-trivial abelian normal subgroups, the conditions we present are both necessary and sufficient. They imply, for example, that for such an A, if there exists such a representation of the standard wreath product A wr H of infinit

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25

Sullivan, Ceri. "Seventeenth-Century Wreath Poems." George Herbert Journal 19, no. 1-2 (1995): 95–101. http://dx.doi.org/10.1353/ghj.1995.0020.

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26

Black, Elena V. "Lifting wreath product extensions." Proceedings of the American Mathematical Society 129, no. 5 (2000): 1283–88. http://dx.doi.org/10.1090/s0002-9939-00-05797-x.

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27

CORNULIER, YVES. "LOCALLY COMPACT WREATH PRODUCTS." Journal of the Australian Mathematical Society 107, no. 1 (2018): 26–52. http://dx.doi.org/10.1017/s1446788718000216.

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Wreath products of nondiscrete locally compact groups are usually not locally compact groups, nor even topological groups. As a substitute introduce a natural extension of the wreath product construction to the setting of locally compact groups. Applying this construction, we disprove a conjecture of Trofimov, constructing compactly generated locally compact groups of intermediate growth without any open compact normal subgroup.

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28

Savage, Alistair. "Affine Wreath Product Algebras." International Mathematics Research Notices 2020, no. 10 (2018): 2977–3041. http://dx.doi.org/10.1093/imrn/rny092.

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Abstract We study the structure and representation theory of affine wreath product algebras and their cyclotomic quotients. These algebras, which appear naturally in Heisenberg categorification, simultaneously unify and generalize many important algebras appearing in the literature. In particular, special cases include degenerate affine Hecke algebras, affine Sergeev algebras (degenerate affine Hecke–Clifford algebras), and wreath Hecke algebras. In some cases, specializing the results of the current paper recovers known results, but with unified and simplified proofs. In other cases, we obtai

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29

Rosso, Daniele, and Alistair Savage. "Quantum Affine Wreath Algebras." Documenta Mathematica 25 (2020): 425–56. http://dx.doi.org/10.4171/dm/753.

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30

Panagopoulos, John. "Semicomplete Permutational Wreath Products." Algebra Colloquium 7, no. 3 (2000): 275–80. http://dx.doi.org/10.1007/s10011-000-0275-y.

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31

Majumdar, Subrata, Kalyan Kumar Dey, and Mohd Altab Hossain. "Direct product and wreath product of transformation semigroups." GANIT: Journal of Bangladesh Mathematical Society 31 (April 9, 2012): 1–7. http://dx.doi.org/10.3329/ganit.v31i0.10303.

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In this paper direct product and wreath product of transformation semigroups have been defined, and associativity of both the products and distributivity of wreath product over direct product have been established.DOI: http://dx.doi.org/10.3329/ganit.v31i0.10303GANIT J. Bangladesh Math. Soc. (ISSN 1606-3694) 31 (2011) 1-7

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32

Berbec, Mihaita. "W*-superrigidity for wreath products with groups having positive first ℓ2-Betti number". International Journal of Mathematics 26, № 01 (2015): 1550003. http://dx.doi.org/10.1142/s0129167x15500032.

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In [M. Berbec and S. Vaes, W*-superrigidity for group von Neumann algebras of left–right wreath products, Proc. London Math. Soc.108 (2014) 1116–1152] we have proven that, for all hyperbolic groups and for all nontrivial free products Γ, the left–right wreath product group 𝒢 ≔ (ℤ/2ℤ)(Γ) ⋊ (Γ × Γ) is W*-superrigid, in the sense that its group von Neumann algebra L𝒢 completely remembers the group 𝒢. In this paper, we extend this result to other classes of countable groups. More precisely, we prove that for weakly amenable groups Γ having positive first ℓ2-Betti number, the same wreath product gr

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33

Fitria Dwi Widiastuti. "ANALISIS SEMIOTIK PADA PUISI “KARANGAN BUNGA” KARYA TAUFIK ISMAIL." Dewantara : Jurnal Pendidikan Sosial Humaniora 1, no. 3 (2022): 68–73. http://dx.doi.org/10.30640/dewantara.v1i3.401.

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Poetry is a literature that contains many building elements, one of which is the meaning of poetry, to analyze the meaning of a poem, a semiotic approach to poetry can be used. Semiotics has a meaning as a sign. The sign here can be a theme, value or meaning of a word or sentence in poetry. In this study, the researcher will analyze the poem entitled “Wreath of Flowers” by Taufik Islamil using a semiotic approach, which is to tell the results of poetry analysis based on the data obtained. The research is based on the curiosity to know the meaning or value of the poem "Wreath of Flowers". The

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34

Sokha, К. V. "Early sonnets of Pavel Antokolsky in the literary continuum of literature of the beginning of the 20th century." Issues of National Literature, no. 2 (July 1, 2025): 29–44. https://doi.org/10.25587/2782-6635-2025-2-29-44.

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The article is devoted to the evolution of Pavel Antokolsky’s sonnet writing, focusing on two key aspects: the early (“youthful”) sonnets of 1914–1920 and the large-scale “Wreath of Sonnets” (1920–1967). The early sonnets, created under the influence of the Vakhtangov Theatre Studio and the poetics of the late Silver Age, reflect the search for a poetic voice and biographical motifs (love, art, fate). Having remained in the archives of the poet and his descendants for a long time, they were first published in 2010. The central motifs of the “Wreath of Sonnets” are time, memory, sacralization o

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35

Бокало Ірина. "МОТИВИ ВТРАТИ ВІНКА В УКРАЇНСЬКИХ НАРОДНИХ ПІСНЯХ ПРО КОХАННЯ". World Science 2, № 2(42) (2019): 46–51. http://dx.doi.org/10.31435/rsglobal_ws/28022019/6361.

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   Ukrainian folk love songs as one of the most relevant genres have retained a lot of information about the norms of ethics and morals of the Ukrainian youth at the end of the XIX - early ХХ century. Particularly interesting are texts which contain information about the loss of maiden innocence, are reflected in the motifs of wreath loss. In folk love songs with the motifs of wreath loss, often are being used images-symbols of a wreath, braids, weed field, destiny. National aesthetics rarely judge girl who committed such a moral crime, but mostly sympathizes with her, uses t

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36

Brown, Benjamin P., Matthew K. Browning, Allan Sacha Brun, Mark S. Miesch, and Juri Toomre. "Global-scale wreath-building dynamos in stellar convection zones." Proceedings of the International Astronomical Union 6, S271 (2010): 78–85. http://dx.doi.org/10.1017/s1743921311017479.

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AbstractWhen stars like our Sun are young they rotate rapidly and are very magnetically active. We explore dynamo action in rapidly rotating suns with the 3-D MHD anelastic spherical harmonic (ASH) code. The magnetic fields built in these dynamos are organized on global-scales into wreath-like structures that span the convection zone. Wreath-building dynamos can undergo quasi-cyclic reversals of polarity and such behavior is common in the parameter space we have been able to explore. These dynamos do not appear to require tachoclines to achieve their spatial or temporal organization. Wreath-bu

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37

Taylor, Lloyd W. H. "The Susa wreath group Alexanders: The first step in the transformation of an anchor seal to a dynastic emblem." KOINON: The International Journal of Classical Numismatic Studies 2 (January 1, 2019): 63–83. http://dx.doi.org/10.32028/k.v2i.1143.

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A tetradrachm die study of the Susa wreath group (Susa Group 5) of Alexanders (Price 3853-60) attributed to the satrapy of Aspeisas in the period 316/5-312/1 BC, indicates that the coinage should be downdated to the period 311/0-309/8 BC, the earliest coinage of Seleukos from the mint. A newly identified component of the coinage, die linked to the wreath group while bearing an anchor recut over the wreath, represents the first appearance on coinage of what was to become the primary Seleukid dynastic emblem. It sheds light on the origin and timing of placement of Seleukos’s personal insignia, o

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38

Rakowska, Dorota. "A Plant Based Artefact as a Document of War. Conservation and Preservation of a Wreath made of Yellow Everlasting and Purging Flax, Found on a Warsaw Insurgent’s Grave." Biodiversity Information Science and Standards 2 (June 13, 2018): e26202. http://dx.doi.org/10.3897/biss.2.26202.

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Within the collection of the Warsaw Rising Museum there are thousands of historic objects relating to the Warsaw Uprising of 1944. Among ‘typical’ items such as weapons, archival documents and photographs, one can also find unusual souvenirs made of bread, horse hair, animal bones or plant material. One extraordinary item is a wreath found on the Warsaw insurgent’s grave. The wreath was made using yellow everlasting (Helichrysum fulgidum var. nanum or Helichrysum aureum) and purging flax (Linum catharticum) on a frame of steel wire. In 2005 the object was to be exhibited in the Deutsches Histo

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39

Rakowska, Dorota. "A Plant Based Artefact as a Document of War. Conservation and Preservation of a Wreath made of Yellow Everlasting and Purging Flax, Found on a Warsaw Insurgent's Grave." Biodiversity Information Science and Standards 2 (June 13, 2018): e26202. https://doi.org/10.3897/biss.2.26202.

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Within the collection of the Warsaw Rising Museum there are thousands of historic objects relating to the Warsaw Uprising of 1944. Among 'typical' items such as weapons, archival documents and photographs, one can also find unusual souvenirs made of bread, horse hair, animal bones or plant material. One extraordinary item is a wreath found on the Warsaw insurgent's grave. The wreath was made using yellow everlasting (<em>Helichrysum fulgidum </em>var<em>. nanum </em>or<em> Helichrysum aureum</em>) and purging flax (<em>Linum catharticum</em>) on a frame of steel wire. In 2005 the object was to

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40

Wazzan, Suha, Firat Ates, and Ahmet Cevik. "The new derivation for wreath products of monoids." Filomat 34, no. 2 (2020): 683–89. http://dx.doi.org/10.2298/fil2002683w.

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We first define a new consequence of the (restricted) wreath product for arbitrary two monoids. After that we give a generating and relator set for this new wreath product. Then we denote some finite and infinite applications about it. At the final part of this paper we show that this product satisfies the periodicity and regularity under some conditions.

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41

Gayathri, K. S. and M. Rajeshwari∗ Mahalakshmi. "Group Actions of wreath product −→Sn on permutation groups." Scandinavian Journal of Information Systems 35, no. 1 (2023): 733–48. https://doi.org/10.5281/zenodo.7807470.

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Wreath product −→Sn = Z2 o Sn of type Bn is a subgroup of the symmetric group S2n. In this paper we determine the group actions of wreath product −→Sn on a finite set. Stabilizer and orbit of a point, imprimitivity of −→Snarealsodiscussed. Also the same is illustrated with an application for n = 3

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42

SMITH, J. D. H. "Wreath products along the period-doubling route to chaos." Ergodic Theory and Dynamical Systems 19, no. 6 (1999): 1617–36. http://dx.doi.org/10.1017/s0143385799151927.

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The wreath-product construction is used to give a complete combinatorial description of the dynamics of period-doubling quadratic maps leading to the Feigenbaum map. An explicit description of the action on periodic points uses the Thue–Morse sequence. In particular, a wreath-product construction of this sequence is given. The combinatorial renormalization operator on the period-doubling family of maps is invertible.

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43

Praeger, Cheryl E., C. A. Rowley, and T. P. Speed. "A note on generalised wreath product groups." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 39, no. 3 (1985): 415–20. http://dx.doi.org/10.1017/s1446788700026173.

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AbstractGeneralised wreath products of permutation groups were discussed in a paper by Bailey and us. This note determines the orbits of the action of a generalised wreath product group on m–tuples (m ≥ 2) of elements of the product of the base sets on the assumption that the action on each component is m–transitive. Certain related results are also provided.

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S. H. Tsok, S. Hamma, and I.B. Mshelia. "On primitivity and regularity of wreath product groups of degree 5p that are not p- groups using numerical approach." International Journal of Scholarly Research in Science and Technology 2, no. 2 (2023): 047–56. http://dx.doi.org/10.56781/ijsrst.2023.2.2.0026.

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Let p be an odd prime number. This work applies some group concepts to construct the Wreath Product of two permutation groups of prime degrees. We used numerical approach to investigate and determine the primitive and regular nature of the constructed Wreath Product Group of degree 5p. We apply Computational Group Theory (GAP) to facilitate as well as validate our results.

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Skuratovskii, Ruslan V. "The Derived Subgroups of Sylow 2-Subgroups of the Alternating Group, Commutator Width of Wreath Product of Groups." Mathematics 8, no. 4 (2020): 472. http://dx.doi.org/10.3390/math8040472.

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The structure of the commutator subgroup of Sylow 2-subgroups of an alternating group A 2 k is determined. This work continues the previous investigations of me, where minimal generating sets for Sylow 2-subgroups of alternating groups were constructed. Here we study the commutator subgroup of these groups. The minimal generating set of the commutator subgroup of A 2 k is constructed. It is shown that ( S y l 2 A 2 k ) 2 = S y l 2 ′ A 2 k , k > 2 . It serves to solve quadratic equations in this group, as were solved by Lysenok I. in the Grigorchuk group. It is proved that the commutator len

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O.V., Sokol. "Morphological peculiarities of flower of the genus Arctium L. species (Asteraceae)." Plant Introduction 66 (June 1, 2015): 72–76. https://doi.org/10.5281/zenodo.2526966.

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A comparative analysis of flower structure of 4 species of the genus <em>Arctium </em>L. is made. Morphological and anatomical features that have taxonomic significance are reveal ed (wreath form, shape and spatial position of bending teeth, the color and spatial position stilodiya, apical loop anther epidermal cells wreath configuration). These features may be used as additional criteria for the characterization and identification of studied species.

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Ganyushkin, O. G., and O. O. Desiateryk. "Automorphism groups of some variants of lattices." Carpathian Mathematical Publications 13, no. 1 (2021): 142–48. http://dx.doi.org/10.15330/cmp.13.1.142-148.

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In this paper we consider variants of the power set and the lattice of subspaces and study automorphism groups of these variants. We obtain irreducible generating sets for variants of subsets of a finite set lattice and subspaces of a finite vector space lattice. We prove that automorphism group of the variant of subsets of a finite set lattice is a wreath product of two symmetric permutation groups such as first of this groups acts on subsets. The automorphism group of the variant of the subspace of a finite vector space lattice is a natural generalization of the wreath product. The fir

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Chua, Alexander Y., Michael Giudici, and Luke Morgan. "Coprime subdegrees of twisted wreath permutation groups." Proceedings of the Edinburgh Mathematical Society 62, no. 4 (2019): 1137–62. http://dx.doi.org/10.1017/s0013091519000130.

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AbstractDolfi, Guralnick, Praeger and Spiga asked whether there exist infinitely many primitive groups of twisted wreath type with non-trivial coprime subdegrees. Here, we settle this question in the affirmative. We construct infinite families of primitive twisted wreath permutation groups with non-trivial coprime subdegrees. In particular, we define a primitive twisted wreath group G(m, q) constructed from the non-abelian simple group PSL(2, q) and a primitive permutation group of diagonal type with socle PSL(2, q)m, and determine many subdegrees for this group. A consequence is that we deter

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Riedl, Jeffrey M. "Automorphisms of Regular Wreath Product -Groups." International Journal of Mathematics and Mathematical Sciences 2009 (2009): 1–12. http://dx.doi.org/10.1155/2009/245617.

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We present a useful new characterization of the automorphisms of the regular wreath product group of a finite cyclic -group by a finite cyclic -group, for any prime , and we discuss an application. We also present a short new proof, based on representation theory, for determining the order of the automorphism group Aut(), where is the regular wreath product of a finite cyclic -group by an arbitrary finite -group.

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Berdinsky, Dmitry, and Bakhadyr Khoussainov. "Cayley Automatic Representations of Wreath Products." International Journal of Foundations of Computer Science 27, no. 02 (2016): 147–59. http://dx.doi.org/10.1142/s0129054116400049.

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We construct the representations of Cayley graphs of wreath products using finite automata, pushdown automata and nested stack automata. These representations are in accordance with the notion of Cayley automatic groups introduced by Kharlampovich, Khoussainov and Miasnikov and its extensions introduced by Elder and Taback. We obtain the upper and lower bounds for a length of an element of a wreath product in terms of the representations constructed.

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