Results 51 to 60 of about 118,465 (290)

Resonance of basis-conjugating automorphism groups [PDF]

open access: yes, 2008
We determine the structure of the first resonance variety of the cohomology ring of the group of automorphisms of a finitely generated free group which act by conjugation on a given basis.Comment: 7 ...
Cohen, Daniel C.
core   +5 more sources

Serre's property FA for automorphism groups of free products [PDF]

open access: yesBulletin of the Belgian Mathematical Society Simon Stevin, 2018
We study the automorphism group Aut(G) of a free product G of finite cyclic groups. We investigate the question in which cases Aut(G) has Serre's property FA.
Nils Leder
semanticscholar   +1 more source

Graph automaton groups [PDF]

open access: yesAdvances in Group Theory and Applications, 2021
In this paper we define a way to get a bounded invertible automaton starting from a finite graph. It turns out that the corresponding automaton group is regular weakly branch over its commutator subgroup, contains a free semigroup on two elements and is ...
Matteo Cavaleri   +3 more
doaj   +1 more source

Automorphism Groups of Abelian p-Groups [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
Let r be the automorphism group of a nonelementary reduced abelian p-group, p > 5. It is shown that every noncentral norinal subgroup of r contains a noncentral elementary abelian normal p-subgroup of r of rank at least 2. 1. The result. Throughout the following, G is a reduced p-primary abelian group, p > 5, and F is the group of all automorphisms of ...
openaire   +2 more sources

Automorphism groups of superspecial curves of genus 4 overF11 [PDF]

open access: yesJournal of Pure and Applied Algebra, 2017
In this paper, we explicitly determine the automorphism group of every nonhyperelliptic superspecial curve of genus 4 over F 11 . Our algorithm determining automorphism groups works for any nonhyperelliptic curve of genus 4 over finite fields.
Momonari Kudo   +2 more
semanticscholar   +1 more source

Negative curvature in automorphism groups of one-ended hyperbolic groups [PDF]

open access: yesJournal of combinatorial algebra, 2018
In this article, we show that some negative curvature may survive when taking the automorphism group of a finitely generated group. More precisely, we prove that the automorphism group $\mathrm{Aut}(G)$ of a one-ended hyperbolic group $G$ turns out to be
A. Genevois
semanticscholar   +1 more source

Possible Groups of Automorphisms [PDF]

open access: yesProceedings of the National Academy of Sciences, 1943
Not ...
openaire   +2 more sources

Outer automorphism groups of right-angled Coxeter groups are either large or virtually abelian [PDF]

open access: yesTransactions of the American Mathematical Society, 2017
We generalize the notion of a separating intersection of links (SIL) to give necessary and sufficient criteria on the defining graph Γ \Gamma of a right-angled Coxeter group W Γ W_\Gamma so that its ...
Andrew W. Sale, T. Susse
semanticscholar   +1 more source

Orders of automorphisms of smooth plane curves for the automorphism groups to be cyclic

open access: yesArabian Journal of Mathematics, 2021
For a fixed integer d≥4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$d\
Taro Hayashi
semanticscholar   +1 more source

Ree groups as automorphism groups of block designs

open access: yesExamples 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

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