Relevant bibliographies by topics / Automorphisms

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Automorphisms'

Author: Grafiati
Published: 4 June 2021
Last updated: 25 July 2025

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Journal articles on the topic "Automorphisms"

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Clemens, John D. "Classifying Borel automorphisms." Journal of Symbolic Logic 72, no. 4 (2007): 1081–92. http://dx.doi.org/10.2178/jsl/1203350774.

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§1. Introduction. This paper considers several complexity questions regarding Borel automorphisms of a Polish space. Recall that a Borel automorphism is a bijection of the space with itself whose graph is a Borel set (equivalently, the inverse image of any Borel set is Borel). Since the inverse of a Borel automorphism is another Borel automorphism, as is the composition of two Borel automorphisms, the set of Borel automorphisms of a given Polish space forms a group under the operation of composition. We can also consider the class of automorphisms of all Polish spaces. We will be primarily con
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MASHEVITZKY, G., and B. I. PLOTKIN. "ON AUTOMORPHISMS OF THE ENDOMORPHISM SEMIGROUP OF A FREE UNIVERSAL ALGEBRA." International Journal of Algebra and Computation 17, no. 05n06 (2007): 1085–106. http://dx.doi.org/10.1142/s0218196707003974.

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Let U be a universal algebra. An automorphism α of the endomorphism semigroup of U defined by α(φ) = sφs-1 for a bijection s : U → U is called a quasi-inner automorphism. We characterize bijections on U defining such automorphisms. For this purpose, we introduce the notion of a pre-automorphism of U. In the case when U is a free universal algebra, the pre-automorphisms are precisely the well-known weak automorphisms of U. We also provide different characterizations of quasi-inner automorphisms of endomorphism semigroups of free universal algebras and reveal their structure. We apply obtained r
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DUNCAN, BENTON L. "AUTOMORPHISMS OF NONSELFADJOINT DIRECTED GRAPH OPERATOR ALGEBRAS." Journal of the Australian Mathematical Society 87, no. 2 (2009): 175–96. http://dx.doi.org/10.1017/s1446788708081007.

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AbstractWe analyze the automorphism group for the norm closed quiver algebras 𝒯+(Q). We begin by focusing on two normal subgroups of the automorphism group which are characterized by their actions on the maximal ideal space of 𝒯+(Q). To further discuss arbitrary automorphisms we factor automorphism through subalgebras for which the automorphism group can be better understood. This allows us to classify a large number of noninner automorphisms. We suggest a candidate for the group of inner automorphisms.
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Nurkhaidarov, Ermek. "On Generic Automorphisms." WSEAS TRANSACTIONS ON MATHEMATICS 23 (January 26, 2024): 68–71. http://dx.doi.org/10.37394/23206.2024.23.8.

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In this article we investigate generic automorphisms of countable models. Hodges et al. 1993 introduces the notion of SI (small index) generic automorphisms. They used the existence of small index generics to show the small index property of the model. Truss 1989 defines the notion of Truss generic automorphisms. An automorphism f ofM is called Truss generic if its conjugacy class is comeagre in the automorphism group ofM. We study the relationship between these two types of generic automorphisms. We show that either the countable random graph or a countable arithmetically saturated model of T
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Hakuta, Keisuke, and Tsuyoshi Takagi. "Sign of Permutation Induced by Nagata Automorphism over Finite Fields." Journal of Mathematics Research 9, no. 5 (2017): 54. http://dx.doi.org/10.5539/jmr.v9n5p54.

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This paper proves that the Nagata automorphism over a finite field can be mimicked by a tame automorphism which is a composition of four elementary automorphisms. By investigating the sign of the permutations induced by the above elementary automorphisms, one can see that if the Nagata automorphism is defined over a prime field of characteristic two, the Nagata automorphism induces an odd permutation, and otherwise, the Nagata automorphism induces an even permutation.
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JORDAN, DAVID A., and NONGKHRAN SASOM. "REVERSIBLE SKEW LAURENT POLYNOMIAL RINGS AND DEFORMATIONS OF POISSON AUTOMORPHISMS." Journal of Algebra and Its Applications 08, no. 05 (2009): 733–57. http://dx.doi.org/10.1142/s0219498809003564.

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A skew Laurent polynomial ring S = R[x±1;α] is reversible if it has a reversing automorphism, that is, an automorphism θ of period 2 that transposes x and x-1 and restricts to an automorphism γ of R with γ = γ-1. We study invariants for reversing automorphisms and apply our methods to determine the rings of invariants of reversing automorphisms of the two most familiar examples of simple skew Laurent polynomial rings, namely a localization of the enveloping algebra of the two-dimensional non-abelian solvable Lie algebra and the coordinate ring of the quantum torus, both of which are deformatio
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Sheng, Yuqiu, Wende Liu, and Yang Liu. "Local Automorphisms and Local Superderivations of Model Filiform Lie Superalgebras." Journal of Mathematics 2024 (March 27, 2024): 1–9. http://dx.doi.org/10.1155/2024/6650997.

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In this paper, we give the forms of local automorphisms (resp. superderivations) of model filiform Lie superalgebra Ln,m in the matrix version. Linear 2-local automorphisms (resp. superderivations) of Ln,m are also characterized. We prove that each linear 2-local automorphism of Ln,m is an automorphism.
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YAPTI ÖZKURT, Zeynep. "Normal automorphisms of free metabelian Leibniz algebras." Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics 73, no. 1 (2023): 147–52. http://dx.doi.org/10.31801/cfsuasmas.1265768.

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Let $\mathfrak{M}$ be a free metabelian Leibniz algebra generating set $% X=\{x_{1},...,x_{n}\}$ over the field $K$ of characteristic $0$. An automorphism $ \phi $ of $\mathfrak{M}$ is said to be normal automorphism if each ideal of $\mathfrak{M}$ is invariant under $ \phi $. In this work, it is proven that every normal automorphism of $\mathfrak{M}$ is an IA-automorphism and the group of normal automorphisms coincides with the group of inner automorphisms.
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Kazakova, Alyona V. "Automorphisms of nil-triangular subrings of Chevalley algebras of type G2 over the field of characteristic 2." Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, no. 88 (2024): 26–36. http://dx.doi.org/10.17223/19988621/88/3.

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Let NΦ(K) be the nil-triangular subalgebra of the Chevalley algebra over an associative commutative ring K with the identity associated with a root system Φ (The basis of NΦ(K) consists of all elements er ∈ Φ+ of the Chevalley basis). This paper studies the well-known problem of describing automorphisms of Lie algebras and rings NΦ(K). Automorphisms of the Lie algebra NΦ(K) under restrictions K = 2K = 3K on ring K are described by Y. Cao, D. Jiang, J. Wang (Intern. J. Algebra and Computation, 2007). When passing from algebras to Lie rings, the group of automorphisms expands. Thus, the subgroup
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Curran, M. J., and D. J. McCaughan. "Central automorphisms of finite groups." Bulletin of the Australian Mathematical Society 34, no. 2 (1986): 191–98. http://dx.doi.org/10.1017/s0004972700010054.

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This paper considers an aspect of the general problem of how the structure of a group influences the structure of its automorphisms group. A recent result of Beisiegel shows that if P is a p-group then the central automorphisms group of P has no normal subgroups of order prime to p. So, roughly speaking, most of the central automorphisms are of p-power order. This generalizes an old result of Hopkins that if Aut P is abelian (so every automorphisms is central), then Aut P is a p-group.This paper uses a different approach to consider the case when P is a π-group. It is shown that the central au
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Dissertations / Theses on the topic "Automorphisms"

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Sutherland, David C. (David Craig). "Automorphism Groups of Strong Bruhat Orders of Coxeter Groups." Thesis, North Texas State University, 1986. https://digital.library.unt.edu/ark:/67531/metadc330906/.

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In this dissertation, we describe the automorphism groups for the strong Bruhat orders A_n-1, B_n, and D_n. In particular, the automorphism group of A_n-1 for n ≥ 3 is isomorphic to the dihedral group of order eight, D_4; the automorphism group of B_n for n ≥ 3 is isomorphic to C_2 x C_2 where C_2 is the cyclic group of order two; the automorphism group of D_n for n > 5 and n even is isomorphic to C_2 x C_2 x C_2; and the automorphism group of D_n for n ≥ 5 and n odd is isomorphic to the dihedral group D_4.
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Davies, D. H. "Automorphisms of designs." Thesis, University of East Anglia, 1987. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.304043.

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Karlsson, Jesper. "Symplectic Automorphisms of C2n." Thesis, Umeå universitet, Institutionen för matematik och matematisk statistik, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-144390.

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This essay is a detailed survey of an article from 1996 published by Franc Forstneric, where he studies symplectic automorphisms of C2n. The vision is to introduce the density property for holomorphic symplectic manifolds. Our idea is that of Dror Varolin when he in 2001 introduced the concept of density property for Stein manifolds. The main result here is the introduction of symplectic shears on C2n equipped with a holomorphic symplectic form and to show that the group generated by finite compositions of symplectic shears is dense in the group of symplectic automorphisms of C2n in the compac
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CARVALHO, LEONARDO NAVARRO DE. "GENERIC AUTOMORPHISMS OF HANDLEBODIES." PONTIFÍCIA UNIVERSIDADE CATÓLICA DO RIO DE JANEIRO, 2002. http://www.maxwell.vrac.puc-rio.br/Busca_etds.php?strSecao=resultado&nrSeq=3970@1.

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CONSELHO NACIONAL DE DESENVOLVIMENTO CIENTÍFICO E TECNOLÓGICO<br>Automorfismos genéricos de cubos com alças (handlebodies) aparecem do estudo de classes the isotopia de automorfismos de variedades orientáveis de dimensão três. Automorfismos genéricos permanecem como uma das partes menos entendidas desse estudo.Dado um automorfismo genérico de um cubo com alças, é conhecida uma forma de se construir uma laminação bidimensional que é invariante pelo automorfismo. A essa laminação se associa um fator de crescimento. É sabido que, no caso de tal fator de crescimento ser minimal - uma cara
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Grossi, Annalisa <1992&gt. "Automorphisms of O'Grady's sixfolds." Doctoral thesis, Alma Mater Studiorum - Università di Bologna, 2020. http://amsdottorato.unibo.it/9441/1/Tesi%20Dottorato.pdf.

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We study automorphisms of irreducible holomorphic symplectic (IHS) manifolds deformation equivalent to the O’Grady’s sixfold. We classify non-symplectic and symplectic automorphisms using lattice theoretic criterions related to the lattice structure of the second integral cohomology. Moreover we introduce the concept of induced automorphisms. There are two birational models for O'Grady's sixfolds, the first one introduced by O'Grady, which is the resolution of singularities of the Albanese fiber of a moduli space of sheaves on an abelian surface, the second one which concerns in the quotient o
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Bonfanti, M. A. "ALGEBRAIC SURFACES WITH AUTOMORPHISMS." Doctoral thesis, Università degli Studi di Milano, 2015. http://hdl.handle.net/2434/345557.

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In my thesis I worked on two different projects, both related with projective surfaces with automorphisms. In the first one I studied Abelian surfaces with an automorphism and quaternionic multiplication: this work has already been accepted for publication in the Canadian Journal of Mathematics. In the second project I treat surfaces isogenous to a product of curves and their cohomology. Abelian Surfaces with an Automorphism The Abelian surfaces, with a polarization of a fixed type, whose endomorphism ring is an order in a quaternion algebra are parametrized by a curve, called Shimura curve
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Fullarton, Neil James. "Palindromic automorphisms of free groups and rigidity of automorphism groups of right-angled Artin groups." Thesis, University of Glasgow, 2014. http://theses.gla.ac.uk/5323/.

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Let F_n denote the free group of rank n with free basis X. The palindromic automorphism group PiA_n of F_n consists of automorphisms taking each member of X to a palindrome: that is, a word on X that reads the same backwards as forwards. We obtain finite generating sets for certain stabiliser subgroups of PiA_n. We use these generating sets to find an infinite generating set for the so-called palindromic Torelli group PI_n, the subgroup of PiA_n consisting of palindromic automorphisms inducing the identity on the abelianisation of F_n. Two crucial tools for finding this generating set are a ne
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Tabbaa, Dima al. "On the classification of some automorphisms of K3 surfaces." Thesis, Poitiers, 2015. http://www.theses.fr/2015POIT2299/document.

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Un automorphisme non-symplectique d'ordre fini n sur une surface X de type K3 est un automorphisme σ ∈ Aut(X) qui satisfait σ*(ω) = λω où λ est une racine primitive n-ième de l'unité et ω est le générateur de H2,0(X). Dans cette thèse on s’intéresse aux automorphismes non-symplectiques d'ordre 8 et 16 sur les surfaces K3. Dans un premier temps, nous classifionsles automorphismes non-symplectiques σ d'ordre 8 quand le lieu fixe de sa quatrième puissance σ⁴ contient une courbe de genre positif, on montre plus précisément que le genre de la courbe fixée par σ est au plus un. Ensuite nous étudions
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Sebille, Michel. "Design :construction, automorphisms and colourings." Doctoral thesis, Universite Libre de Bruxelles, 2002. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/211428.

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Bidwell, Jonni, and n/a. "Computing automorphisms of finite groups." University of Otago. Department of Mathematics & Statistics, 2007. http://adt.otago.ac.nz./public/adt-NZDU20070320.162909.

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In this thesis we explore the problem of computing automorphisms of finite groups, eventually focusing on some group product constructions. Roughly speaking, the automorphism group of a group gives the nature of its internal symmetry. In general, determination of the automorphism group requires significant computational effort and it is advantageous to find situations in which this may be reduced. The two main results give descriptions of the automorphism groups of finite direct products and split metacyclic p-groups. Given a direct product G = H x K where H and K have no common direct facto
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Books on the topic "Automorphisms"

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van den Essen, Arno. Polynomial Automorphisms. Birkhäuser Basel, 2000. http://dx.doi.org/10.1007/978-3-0348-8440-2.

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Davies, D. H. Automorphisms of designs. University of East Anglia, 1987.

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Passi, Inder Bir Singh, Mahender Singh, and Manoj Kumar Yadav. Automorphisms of Finite Groups. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-2895-4.

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van den Essen, Arno, ed. Automorphisms of Affine Spaces. Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8555-2.

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Takhar, Rita. Automorphisms of free products. University of Birmingham, 1989.

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Webb, Bridget S. Automorphisms of finite incidence structures. University of East Anglia, 1992.

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Hudson, Sebastian Thomas. Rigid automorphisms of generalised trees. University of Birmingham, 1997.

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McCullough, Darryl. Symmetric automorphisms of free products. American Mathematical Society, 1996.

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Richard, Kaye, and Macpherson Dugald, eds. Automorphisms of first-order structures. Clarendon Press, 1994.

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Khukhro, Evgenii I. Nilpotent groups and their automorphisms. W. de Gruyter, 1993.

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Book chapters on the topic "Automorphisms"

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Bonnafé, Cédric. "Automorphisms." In Algebra and Applications. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-70736-5_20.

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Charlap, Leonard S. "Automorphisms." In Bieberbach Groups and Flat Manifolds. Springer New York, 1986. http://dx.doi.org/10.1007/978-1-4613-8687-2_5.

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Armstrong, M. A. "Automorphisms." In Undergraduate Texts in Mathematics. Springer New York, 1988. http://dx.doi.org/10.1007/978-1-4757-4034-9_23.

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Birkenhake, Christina, and Herbert Lange. "Automorphisms." In Complex Abelian Varieties. Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-06307-1_15.

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Cǎlugǎreanu, Grigore, and Peter Hamburg. "Automorphisms." In Kluwer Texts in the Mathematical Sciences. Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-015-9004-4_8.

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Kitchens, Bruce P. "Automorphisms." In Universitext. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-642-58822-8_3.

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Dudek, Wieslaw A. "Automorphisms." In Polyadic Groups. Chapman and Hall/CRC, 2024. http://dx.doi.org/10.1201/9781032703541-6.

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Khattar, Dinesh, and Neha Agrawal. "Automorphisms." In Group Theory. Springer International Publishing, 2023. http://dx.doi.org/10.1007/978-3-031-21307-6_8.

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Tits, Jacques, and Richard M. Weiss. "Automorphisms." In Springer Monographs in Mathematics. Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-662-04689-0_37.

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Georgi, Howard. "Automorphisms." In Lie Algebras in Particle Physics. CRC Press, 2018. http://dx.doi.org/10.1201/9780429499210-26.

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Conference papers on the topic "Automorphisms"

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Lee, Hanyoung, and Hanho Lee. "Automorphism Architecture for Bootstrapping Homomorphic Encryption." In 2024 21st International SoC Design Conference (ISOCC). IEEE, 2024. http://dx.doi.org/10.1109/isocc62682.2024.10762582.

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Mandelbaum, Jonathan, Sisi Miao, Nils Albert Schwendemann, Holger Jäkel, and Laurent Schmalen. "Improved Generalized Automorphism Belief Propagation Decoding." In 2024 19th International Symposium on Wireless Communication Systems (ISWCS). IEEE, 2024. http://dx.doi.org/10.1109/iswcs61526.2024.10639098.

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Martinolich, López, and Blanca Fernanda. "Equivalence between varieties of Post algebras with a distinguished automorphism and pth root rings." In 2024 IEEE 54th International Symposium on Multiple-Valued Logic (ISMVL). IEEE, 2024. http://dx.doi.org/10.1109/ismvl60454.2024.00030.

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Guo, Xiuyun. "Power Automorphisms and Induced Automorphisms in Finite Groups." In The International Conference on Algebra 2010 - Advances in Algebraic Structures. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814366311_0021.

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Wagh, Meghanad D., and Khadidja Bendjilali. "Butterfly Automorphisms and Edge Faults." In 2010 9th International Symposium on Parallel and Distributed Computing (ISPDC). IEEE, 2010. http://dx.doi.org/10.1109/ispdc.2010.11.

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Shabunov, Kirill. "Monomial Codes With Predefined Automorphisms." In 2022 IEEE/CIC International Conference on Communications in China (ICCC Workshops). IEEE, 2022. http://dx.doi.org/10.1109/icccworkshops55477.2022.9896648.

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Rakhimov, Abdugafur Abdumadjidovich, and Khasanbek Avazbekogli Nazarov. "Local automorphisms of real B(X)." In NOVEL TRENDS IN RHEOLOGY IX. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0145081.

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Kalandarov, Turabay, Purxanatdin Nasirov, Rano Arziyeva, and Raxim Ongarbayev. "2-local automorphisms of arens algebras." In INTERNATIONAL SCIENTIFIC AND PRACTICAL CONFERENCE ON ACTUAL PROBLEMS OF MATHEMATICAL MODELING AND INFORMATION TECHNOLOGY. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0210130.

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Hasan, Fatin Hanani, Mohd Sham Mohamad, and Yuhani Yusof. "Automorphisms of finite cyclic 3-groups." In THE 7TH BIOMEDICAL ENGINEERING’S RECENT PROGRESS IN BIOMATERIALS, DRUGS DEVELOPMENT, AND MEDICAL DEVICES: The 15th Asian Congress on Biotechnology in conjunction with the 7th International Symposium on Biomedical Engineering (ACB-ISBE 2022). AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0192365.

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KHUKHRO, E. I. "SOME NEW METHODS FOR ALMOST REGULAR AUTOMORPHISMS." In Proceedings of a Conference in Honor of Akbar Rhemtulla. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812708670_0019.

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Reports on the topic "Automorphisms"

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Abe, Kojun. On the Structure of Automorphisms of Manifolds. GIQ, 2012. http://dx.doi.org/10.7546/giq-1-2000-7-16.

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