Results 1 to 10 of about 763 (169)
The automorphism groups of groups of order $p^{2} q$ [PDF]
International Journal of Group Theory, 2021 We record for reference a detailed description of the automorphism groups of the groups of order $p^{2}q$, where $p$ and $q$ are distinct primes.
Elena Campedel +2 more
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Existentially and $\kappa$-existentially closed groups [PDF]
International Journal of Group Theory, 2023 A group $G$ is existentially closed (algebraically closed) if every finite system of equations and in-equations that has coefficients in $G$ and has a solution in an overgroup $H\geq G$ has a solution in $G$.
Burak Kaya, Mahmut Kuzucuoğlu
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On the automorphism groups of some Leibniz algebras [PDF]
International Journal of Group Theory, 2023 We study the automorphism groups of finite-dimensional cyclic Leibniz algebras. In this connection, we consider the relationships between groups, modules over associative rings and Leibniz algebras.
Leonid Kurdachenko +2 more
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Automorphism groups of some variants of lattices
Karpatsʹkì Matematičnì Publìkacìï, 2021 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
O.G. Ganyushkin, O.O. Desiateryk
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The Automorphism Group of certain 3-Generator p-Groups [PDF]
Advances in Group Theory and Applications, 2022 A presentation as well as a structural description of the automorphism group of a family of 3-generator finite p-groups is given, p being an odd prime.
Fernando Szechtman
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Semi-automorphisms of groups [PDF]
Proceedings of the American Mathematical Society, 1958 A semi-automorphism of a group G is a 1-1 mapping, X, of G onto itself such that 0(aba) =4(a)o(b)4(a) for all a, bEG. The nature of such mappings, in the special cases when G is the symmetric or alternating group (finite or infinite) and in a few other examples, was determined by Dinkines [I], who showed they must be automorphisms or anti-automorphisms.
Herstein, I. N., Ruchte, M. F.
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1-Designs Constructed from the Groups $PSL_{2}(81)$ and $PSL_{2}(89)$ [PDF]
Journal of Mahani Mathematical Research, 2022 In this paper, some designs from the primitive permutation representations of the groups $PSL_2(81)$ and $PSL_2(89)$ are constructed using the Key-Moori Method 1. We determine the automorphism groups of all the obtained designs and prove that the groups $
Reza Kahkeshani
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Automorphisms of Zappa–Szép Products [PDF]
Advances in Group Theory and Applications, 2022 In this paper, we have found the automorphism group of the Zappa–Szép product of two groups. Also, we have computed the automorphism group of the Zappa–Szép product of a cyclic group of order m and a cyclic group of order p^2, where p is a prime.
Ratan Lal, Vipul Kakkar
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Automorphism groups of graph covers and uniform subset graphs
AKCE International Journal of Graphs and Combinatorics, 2018 Hofmeister considered the automorphism groups of antipodal graphs through the exploration of graph covers. In this note we extend the exploration of automorphism groups of distance preserving graph covers.
N.B. Mumba, E. Mwambene
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A new characterization of the automorphism groups of Mathieu groups
Open Mathematics, 2021 Let cd(G){\rm{cd}}\left(G) be the set of irreducible complex character degrees of a finite group GG. ρ(G)\rho \left(G) denotes the set of primes dividing degrees in cd(G){\rm{cd}}\left(G).
Liu Xin, Chen Guiyun, Yan Yanxiong
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