Results 31 to 40 of about 118,465 (290)

Frobenius groups as groups of automorphisms [PDF]

open access: yesProceedings of the American Mathematical Society, 2010
We show that if G F H GFH is a double Frobenius group with “upper” complement H H of order q q such that C G ( H ) C_G(H) is nilpotent of class c c , then G G is ...
Makarenko, N. Yu., Shumyatsky, Pavel
openaire   +2 more sources

Classification of quantum graphs on M2 and their quantum automorphism groups [PDF]

open access: yesJournal of Mathematics and Physics, 2021
Motivated by the string diagrammatic approach to undirected tracial quantum graphs by Musto et al. [J. Math. Phys. 59(8), 081706 (2018)], in the former part of this paper, we diagrammatically formulate directed nontracial quantum graphs by Brannan et al.
J. Matsuda
semanticscholar   +1 more source

The automorphism groups of the profinite braid groups [PDF]

open access: yesAmerican Journal of Mathematics, 2019
:In this paper we determine the automorphism groups of the profinite braid groups with four or more strings in terms of the profinite Grothendieck-Teichm\"uller group.
Arata Minamide, Hiroaki Nakamura
semanticscholar   +1 more source

Right‐angled Artin groups as finite‐index subgroups of their outer automorphism groups [PDF]

open access: yesBulletin of the London Mathematical Society, 2022
We prove that every right‐angled Artin group occurs as a finite‐index subgroup of the outer automorphism group of another right‐angled Artin group. We furthermore show that the latter group can be chosen in such a way that the quotient is isomorphic to ...
Manuel Wiedmer
semanticscholar   +1 more source

Automorphism groups of the constituent graphs of integral distance graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2023
In this paper, we consider the automorphism groups of Cayley graphs which are a basis of a complete Boolean algebra of strongly regular graphs, one of such graph is the integral distance graph [Formula: see text] The automorphism groups of the integral ...
O. Habineza, E. Mwambene
doaj   +1 more source

Serre’s Property (FA) for automorphism groups of free products [PDF]

open access: yesJournal of group theroy, 2019
We provide some necessary and some sufficient conditions for the automorphism group of a free product of (freely indecomposable, not infinite cyclic) groups to have Property (FA).
Naomi Andrew
semanticscholar   +1 more source

Automorphism groups of polycyclic-by-finite groups and arithmetic groups [PDF]

open access: yes, 2005
We show that the outer automorphism group of a polycyclic-by-finite group is an arithmetic group. This result follows from a detailed structural analysis of the automorphism groups of such groups. We use an extended version of the theory of the algebraic
A. Borel   +40 more
core   +3 more sources

AUTOMORPHISM GROUPS OF FREE GROUPS [PDF]

open access: yesJournal of the Australian Mathematical Society, 2008
Abstract This note contains some remarks on generating pairs for automorphism groups of free groups. There has been significant use of electronic assistance. Little of this is used to verify the results.
openaire   +3 more sources

Automorphism groups of graph covers and uniform subset graphs

open access: yesAKCE International Journal of Graphs and Combinatorics, 2018
Hofmeister considered the automorphism groups of antipodal graphs through the exploration of graph covers. In this note we extend the exploration of automorphism groups of distance preserving graph covers.
N.B. Mumba, E. Mwambene
doaj   +2 more sources

Automorphism groups of quandles and related groups [PDF]

open access: yesMonatshefte für Mathematik (Print), 2017
In this paper we study various questions concerning automorphisms of quandles. For a conjugation quandle $$Q=\mathrm{Conj}(G)$$Q=Conj(G) of a group G we determine several subgroups of $$\mathrm{Aut}(Q)$$Aut(Q) and find necessary and sufficient conditions
V. Bardakov   +2 more
semanticscholar   +1 more source

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