Results 31 to 40 of about 9,504,920 (193)

An atlas of K3 surfaces with finite automorphism group [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2022
We study the geometry of the K3 surfaces $X$ with a finite number automorphisms and Picard number $\geq 3$. We describe these surfaces classified by Nikulin and Vinberg as double covers of simpler surfaces or embedded in a projective space.
Xavier Roulleau
doaj   +1 more source

Autocommutator subgroups with cyclic outer automorphism group [PDF]

open access: yes, 2012
A criterion for the existence of groups admitting autocommutator subgroups with cyclic outer automorphism group is given. Also the classification of those finite groups $G$ such that $K(G)\cong H$ if $H$ is a centerless finite group with cyclic outer ...
Reza R. Moghaddam, Mohammad   +2 more
core   +1 more source

On finite dual Cayley graphs

open access: yesOpen Mathematics, 2020
A Cayley graph Γ\Gamma on a group G is called a dual Cayley graph on G if the left regular representation of G is a subgroup of the automorphism group of Γ\Gamma (note that the right regular representation of G is always an automorphism group of Γ ...
Pan Jiangmin
doaj   +1 more source

On automorphisms of L.C. groups [PDF]

open access: yesProceedings of the American Mathematical Society, 1977
The left regular representation λ \lambda
openaire   +1 more source

1-Designs from the group PSL2(59) and their automorphism groups [PDF]

open access: yesMathematics Interdisciplinary Research, 2018
In this paper, we consider the projective special linear group PSL2(59) and construct some 1-designs by applying the Key-Moori method on  PSL2(59). Moreover, we obtain parameters of these designs and their automorphism groups.
Reza Kahkeshani
doaj   +1 more source

A Note on Eigenvalues and Asymmetric Graphs

open access: yesAxioms, 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

The automorphism group for p-central p-groups [PDF]

open access: yesInternational Journal of Group Theory, 2012
A p-group is p-central if the central quotient has exponent p, and G is (p^2)-abelian if (xy)^{p^{2}}=(x^{p^2})(y^{p^2}) for all x,y in G . We prove that for G a finite (p^2)-abelian p-central p-group, excluding certain cases, the order of G divides the ...
Anitha Thillaisundaram
doaj  

Automorphisms of groups

open access: yesJournal 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

The automorphism group of accessible groups [PDF]

open access: yesJournal of the London Mathematical Society, 2011
18 pages, 3 figures.
openaire   +4 more sources

Automorphisms of free braided nonassociative algebras of rank 2

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
We prove the elementary reducibility of any nonaffine automorphism of a free nonassociative algebra of rank two over an arbitrary field. Using this result establish a property of automorphisms of this algebra that will be needed in later. We then derive
R. Mutalip   +2 more
doaj   +1 more source

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