Results 41 to 50 of about 5,394,965 (221)

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

Stable rational cohomology of automorphism groups of free groups and the integral cohomology of moduli spaces of graphs [PDF]

, 2002
It is not known whether or not the stable rational cohomology groups H*(Aut(F[infinity]);Q) always vanish (see Hatcher in [5] and Hatcher and Vogtmann in [7] where they pose the question and show that it does vanish in the first 6 dimensions).
Jensen, Craig A., C. A. Jensen
core   +1 more source

AUTOMORPHISM OF CYCLIC GROUPS

Journal of Mountain Area Research
In this article, we will study cyclic groups  A.  We have found a class of cyclic groups A which are not determined with their automorphism groups in CQ.
Ibrahima Sagno, Mouctar N'DIAYE, A.M. Sebeldin   +2 more
doaj   +1 more source

On Groups in Which Many Automorphisms Are Cyclic

Mathematics, 2022
Let G be a group. An automorphism α of G is said to be a cyclic automorphism if the subgroup ⟨x,xα⟩ is cyclic for every element x of G. In [F. de Giovanni, M.L. Newell, A. Russo: On a class of normal endomorphisms of groups, J.
Mattia Brescia, Alessio Russo
doaj   +1 more source

On automorphisms of L.C. groups [PDF]

Proceedings of the American Mathematical Society, 1977
The left regular representation λ \lambda
openaire   +1 more source

AUTOMORPHISM GROUPS OF MAPS, SURFACES AND SMARANDACHE GEOMETRIES [PDF]

, 2005
A combinatorial map is a connected topological graph cellularly embedded in a surface. As a linking of combinatorial configuration with the classical mathematics, it fascinates more and more mathematician’s interesting.
Linfan Mao, MAO, LINFAN
core   +1 more source

Ree groups as automorphism groups of block designs

Examples and Counterexamples
A recent classification of flag-transitive 2-designs with parameters (v,k,λ) whose replication number r is coprime to λ gives rise to eight possible infinite families of 2-designs, some of which are with new parameters.
Ashraf Daneshkhah
doaj   +1 more source

The automorphism group of accessible groups [PDF]

Journal of the London Mathematical Society, 2011
18 pages, 3 figures.
openaire   +4 more sources

Automorphisms of groups

Journal of Algebra, 2007
Let \({\mathcal E}\colon N\rightarrowtail G\twoheadrightarrow Q\) be a group extension with coupling \(\chi\colon Q\to\text{Out\,}N\). If \(\Aut\,{\mathcal E}=\{\gamma\in\Aut\,G\mid N^\gamma=N\}\), \(\text{Comp}(\chi)\) the group of all compatible pairs for \(\chi\) and \(A\) the center of \(N\) regarded as a \(Q\)-module via \(\chi\) then it is known [
openaire   +2 more sources

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, Abbe Mowshowitz, Matthias Dehmer   +2 more
doaj   +1 more source