Results 71 to 80 of about 39,756 (284)

Automorphisms and Definability (of Reducts) for Upward Complete Structures

Mathematics, 2022
The Svenonius theorem establishes the correspondence between definability of relations in a countable structure and automorphism groups of these relations in extensions of the structure.
Alexei Semenov, Sergei Soprunov
doaj   +1 more source

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

Alternating groups as automorphism groups of Riemann surfaces

, 2006
In this work we give pairs of generators (x, y) for the alternating groups An, 5 ≤ n ≤ 19, such that they determine the minimal genus of a Riemann surface on which An acts as the automorphism group.
Martínez García, Ernesto, Etayo Gordejuela, José Javier   +1 more
core   +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

Automorphism groups of simply reducible groups

, 2021
Simply reducible groups are closely related to the eigenvalue problems in quantum theory and molecular symmetry in chemistry. Classification of simply reducible groups is still an open problem which is interesting to physicists.
Luan, Yongzhi
core   +1 more source

Signed Projective Cubes, a Homomorphism Point of View

Journal of Graph Theory, EarlyView.
ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen, Reza Naserasr, Alessandra Sarti   +2 more
wiley   +1 more source

Unitary $L^{p+}$-representations of almost automorphism groups

Comptes Rendus. Mathématique
Let $G$ be a locally compact group with an open subgroup $H$ with the Kunze–Stein property, and let $\pi $ be a unitary representation of $H$. We show that the representation $\widetilde{\pi }$ of $G$ induced from $\pi $ is an $L^{p+}$-representation if ...
Dabeler, Antje, Mai Elkiær, Emilie, Gerasimova, Maria, de Laat, Tim   +3 more
doaj   +1 more source

The automorphism groups of domains and the Greene-Krantz conjecture [PDF]

Opuscula Mathematica
We consider the subject of the automorphism groups of domains in complex space. In particular, we describe and discuss the noted Greene-Krantz conjecture.
Steven G. Krantz
doaj   +1 more source

Group extensions and automorphism group rings [PDF]

Homology, Homotopy and Applications, 2003
The group ring of the automorphism group of a p-group is studied using the automorphism groups of subgroups and quotient groups of P.
Martino, John, Priddy, Stewart
openaire   +4 more sources

Acylindrical hyperbolicity of groups acting on trees

, 2015
We provide new examples of acylindrically hyperbolic groups arising from actions on simplicial trees. In particular, we consider amalgamated products and HNN-extensions, 1-relator groups, automorphism groups of polynomial algebras, 3-manifold groups and ...
Osin, Denis, Denis Osin, Ashot Minasyan, Minasyan, Ashot   +3 more
core   +1 more source