Results 1 to 10 of about 735 (188)
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Automorphism groups of some families of bipartite graphs
Electronic Journal of Graph Theory and Applications, 2021 This paper discusses the automorphism group of a class of weakly semiregular bipartite graphs and its subclass called WSBEND graphs. It also tries to analyse the automorphism group of the SM sum graphs and SM balancing graphs.
K.G. Sreekumar, K. Manilal
doaj +1 more source
AUTOMORPHISM GROUPS OF QUANDLES [PDF]
Journal of Algebra and Its Applications, 2012 We prove that the automorphism group of the dihedral quandle with n elements is isomorphic to the affine group of the integers mod n, and also obtain the inner automorphism group of this quandle. In [B. Ho and S. Nelson, Matrices and finite quandles, Homology Homotopy Appl.7(1) (2005) 197–208.], automorphism groups of quandles (up to isomorphisms) of ...
Elhamdadi, Mohamed +2 more
openaire +4 more sources
On the endomorphism semigroups of extra-special $p$-groups and automorphism orbits [PDF]
International Journal of Group Theory, 2022 For an odd prime $p$ and a positive integer $n$, it is well known that there are two types of extra-special $p$-groups of order $p^{2n+1}$, first one is the Heisenberg group which has exponent $p$ and the second one is of exponent $p^2$.
Chudamani Pranesachar Anil Kumar +1 more
doaj +1 more source
Description of the automorphism groups of some Leibniz algebras
Researches in Mathematics, 2023 Let $L$ be an algebra over a field $F$ with the binary operations $+$ and $[,]$. Then $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all elements $a,b,c\in L$.
L.A. Kurdachenko, O.O. Pypka, M.M. Semko
doaj +1 more source
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
doaj +1 more source
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.
openaire +2 more sources