Results 21 to 30 of about 12,736,939 (290)
A generalization of Pappus graph
Electronic Journal of Graph Theory and Applications, 2022 In this paper, we introduce a new family of cubic graphs Γ(m), called Generalized Pappus graphs, where m ≥ 3. We compute the automorphism group of Γ(m) and characterize when it is a Cayley graph.
Sucharita Biswas, Angsuman Das
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
Automorphisms of Automorphism Groups of Free Groups
Journal of Algebra, 2000 The main result of the paper states that, for \(n\geq 3\), every automorphism of the outer automorphism group \(\text{Out}(F_n)\) of the free group \(F_n\) of rank \(n\) is an inner automorphism, or in other words that \(\text{Out}(\text{Out}(F_n))\) is the trivial group (and the same also for the automorphism group \(\Aut(F_n)\), a result obtained ...
Bridson, M, Vogtmann, K
openaire +2 more sources
Adiabatic paths of Hamiltonians, symmetries of topological order, and automorphism codes [PDF]
Physical review B, 2022 The recent"honeycomb code"is a fault-tolerant quantum memory defined by a sequence of checks which implements a nontrivial automorphism of the toric code. We argue that a general framework to understand this code is to consider continuous adiabatic paths
D. Aasen, Zhenghan Wang, M. Hastings
semanticscholar +1 more source
Classifying cubic symmetric graphs of order 52p2; pp. 55–60 [PDF]
Proceedings of the Estonian Academy of Sciences, 2023 An 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.
Shangjing Hao, Shixun Lin
doaj +1 more source
FREE GROUPS AND AUTOMORPHISM GROUPS OF INFINITE STRUCTURES
Forum of Mathematics, Sigma, 2014 Given a cardinal $\lambda $ with $\lambda =\lambda ^{\aleph _0}$
PHILIPP LÜCKE, SAHARON SHELAH
doaj +1 more source
The automorphism group of a rigid affine variety [PDF]
, 2016 An irreducible algebraic variety X is rigid if it admits no nontrivial action of the additive group of the ground field. We prove that the automorphism group Aut(X) of a rigid affine variety contains a unique maximal torus T .
I. Arzhantsev, Sergey A. Gaifullin
semanticscholar +1 more source
Class-preserving Coleman automorphisms of some classes of finite groups
Open Mathematics, 2022 The normalizer problem of integral group rings has been studied extensively in recent years due to its connection with the longstanding isomorphism problem of integral group rings.
Hai Jingjing, Li Zhengxing, Ling Xian
doaj +1 more source
A Note on Eigenvalues and Asymmetric Graphs
Axioms, 2023 This note is intended as a contribution to the study of quantitative measures of graph complexity that use entropy measures based on symmetry. Determining orbit sizes of graph automorphism groups is a key part of such studies. Here we focus on an extreme
Abdullah Lotfi +2 more
doaj +1 more source
$p$-Groups for which each outer $p$-automorphism centralizes only $p$ elements [PDF]
, 2013 An automorphism of a group is called outer if it is not an inner automorphism. Let $G$ be a finite $p$-group. Then for every outer $p$-automorphism $\phi$ of $G$ the subgroup $C_G(\phi)=\{x\in G \;|\; x^\phi=x\}$ has order $p$ if and only if $G$ is of ...
Abdollahi, Alireza, Ghoraishi, S. Mohsen
core +3 more sources