Results 11 to 20 of about 735 (188)

Automorphisms of Automorphism Groups of Free Groups

open access: yesJournal of Algebra, 2000
The main result of the paper states that, for \(n\geq 3\), every automorphism of the outer automorphism group \(\text{Out}(F_n)\) of the free group \(F_n\) of rank \(n\) is an inner automorphism, or in other words that \(\text{Out}(\text{Out}(F_n))\) is the trivial group (and the same also for the automorphism group \(\Aut(F_n)\), a result obtained ...
Bridson, M, Vogtmann, K
openaire   +2 more sources

FREE GROUPS AND AUTOMORPHISM GROUPS OF INFINITE STRUCTURES

open access: yesForum of Mathematics, Sigma, 2014
Given a cardinal $\lambda $ with $\lambda =\lambda ^{\aleph _0}$
PHILIPP LÜCKE, SAHARON SHELAH
doaj   +1 more source

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

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

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 group schemes of bielliptic and quasi-bielliptic surfaces [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2022
Bielliptic and quasi-bielliptic surfaces form one of the four classes of minimal smooth projective surfaces of Kodaira dimension $0$. In this article, we determine the automorphism schemes of these surfaces over algebraically closed fields of arbitrary ...
Gebhard Martin
doaj   +1 more source

The description of the automorphism groups of finite-dimensional cyclic Leibniz algebras

open access: yesДоповiдi Нацiональної академiї наук України, 2022
In the study of Leibniz algebras, the information about their automorphisms (as well as about endomorphisms, derivations, etc.) is very useful. We describe the automorphism groups of finite-dimensional cyclic Leibniz algebras. In particular, we consider
L.A. Kurdachenko   +2 more
doaj   +1 more source

Calculating the symmetry of hexamethylcyclohexane

open access: yesMacedonian Journal of Chemistry and Chemical Engineering, 2007
An Euclidean graph associated with a molecule is defined by a weighted graph with adjacency matrix. Balasubramanian (1995) computed the Euclidean graphs and their automorphism groups for benzene, eclipsed and staggered forms of ethane, and eclipsed and ...
Ahmad Gholami   +2 more
doaj   +1 more source

On automorphism groups of Toeplitz subshifts

open access: yesDiscrete Analysis, 2017
On automorphism groups of Toeplitz subshifts, Discrete Analysis 2017:11, 19 pp. A discrete dynamical system is a space $X$ with some kind of structure, together with a map $\sigma\colon X\to X$ that preserves the structure.
Sebastian Donoso   +3 more
doaj   +1 more source

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