Results 71 to 80 of about 5,394,965 (221)

An obstruction to the strong relative hyperbolicity of a group

open access: yes, 2006
We give a simple combinatorial criterion for a group that, when satisfied, implies the group cannot be strongly relatively hyperbolic. Our criterion applies to several classes of groups, such as surface mapping class groups, Torelli groups, and ...
Javier Aramayona   +5 more
core   +1 more source

Automorphism groups of simply reducible groups

open access: yes, 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

On the automorphisms of the power semigroups of a numerical semigroup

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract If H$H$ is a numerical semigroup (i.e., a cofinite subset of the non‐negative integers closed under addition), then the collection of all non‐empty subsets of H$H$ forms a semigroup P(H)$\mathcal {P}(H)$ under the sumset operation induced by addition in H$H$.
Salvatore Tringali, Kerou Wen
wiley   +1 more source

POLYHEDRAL GRAPHS UNDER AUTOMORPHISM GROUPS

open access: yesStudia Universitatis Babes-Bolyai Chemia, 2016
A modified Wiener number was proposed by Graovać and Pisanski. It is based on the full automorphism group of a graph. In this paper, we compute the difference between these topological indices for some polyhedral graphs.
Modjtaba GHORBANI   +1 more
doaj  

Automorphism groups of some non-nilpotent Leibniz algebras

open access: yesResearches in Mathematics
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 $a,b,c\in L$. A linear transformation $f$ of $L$
L.A. Kurdachenko   +2 more
doaj   +1 more source

Computing automorphism groups of shifts using atypical equivalence classes

open access: yesDiscrete Analysis, 2016
Computing automorphism groups of shifts, using atypical equivalence classes, Discrete Analysis 2016:3, 24 pp. Symbolic dynamics is about dynamical systems of the following type.
Ethan Coven, Anthony Quas, Reem Yassawi
doaj   +1 more source

Acylindrical hyperbolicity of groups acting on trees

open access: yes, 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   +3 more
core   +1 more source

Context‐free graphs and their transition groups

open access: yesTransactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.
Abstract Starting from context‐free inverse graphs, we introduce a new class of groups and study their structural properties. We establish closure properties, show that their coword problems are context‐free, analyze torsion elements, and realize them as subgroups of the asynchronous rational group.
Daniele D'Angeli   +3 more
wiley   +1 more source

CLASSIFICATION OF FINITE p-GROUPS WITH METACYCLIC AUTOMORPHISMS GROUP

open access: yesپژوهش‌های ریاضی, 2021
In this paper we classify finite p-groups (p>2 )  with metacyclic automorphism  group.  Particularly we prove that the automorphism group of group G is metacyclic if and only if  G is cyclic of order  p^n.
Shirin Fouladi
doaj  

Automorphisms and Definability (of Reducts) for Upward Complete Structures

open access: yesMathematics, 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

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