Results 11 to 20 of about 263 (149)

On the automorphism groups of relatively free groups of infinite rank: a survey

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2018
The paper is intended to be a survey on some topics within the framework of automorphisms of a relatively free groups of infinite rank. We discuss such properties as tameness, primitivity, small index, Bergman property, and so on.
V.A. Roman’kov
doaj   +1 more source

Generalized spin Sutherland systems revisited

open access: yesNuclear Physics B, 2015
We present generalizations of the spin Sutherland systems obtained earlier by Blom and Langmann and by Polychronakos in two different ways: from SU(n) Yang–Mills theory on the cylinder and by constraining geodesic motion on the N-fold direct product of ...
L. Fehér, B.G. Pusztai
doaj   +1 more source

On the Root-class Residuality of HNN-extensions of Groups

open access: yesМоделирование и анализ информационных систем, 2014
Let K be an arbitrary root class of groups. This means that K contains at least one non-unit group, is closed under taking subgroups and direct products of a finite number of factors and satisfies the Gruenberg condition: if 1 ≤ Z ≤ Y ≤ X is a subnormal ...
E. A. Tumanova
doaj   +1 more source

A note on fixed points of automorphisms of infinite groups [PDF]

open access: yesInternational Journal of Group Theory, 2014
Motivated by a celebrated theorem of Schur, we show that if $Gamma$ is a normal subgroup of the full automorphism group $Aut(G)$ of a group $G$ such that $Inn(G)$ is contained in $Gamma$ and $Aut(G)/Gamma$ has no uncountable abelian subgroups of prime ...
Francesco de Giovanni   +2 more
doaj  

The Automorphism Groups of Minimal Infinite Circulant Digraphs

open access: yesEuropean Journal of Combinatorics, 1997
Given a group \(G\), a directed graph \(X\) is called a digraph regular representation (DRR) of \(G\) if Aut\((X)\simeq G\) (as abstract groups) and the action of Aut\((X)\) on \(V(X)\) is that of a regular permutation group. It is well known that in this case \(X\) must be a Cayley digraph \(X(G,S)\) where \(S\subset G\) and \(\langle S\rangle=G ...
Jixiang Meng, Qiongxiang Huang
openaire   +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

Automorphisms groups of simplicial complexes of infinite type surfaces [PDF]

open access: yesPublicacions Matemàtiques, 2017
23 pages, 13 ...
Hernández, Jesús Hernández   +1 more
openaire   +5 more sources

Derivations and automorphisms of locally matrix algebras and groups

open access: yesДоповiдi Нацiональної академiї наук України
We describe derivations and automorphisms of infinite tensor products of matrix algebras. Using this description, we show that, for a countable–dimensional locally matrix algebra A over a field F, the dimension of the Lie algebra of outer derivations of ...
O.O. Bezushchak
doaj   +1 more source

Fano threefolds with infinite automorphism groups [PDF]

open access: yesIzvestiya: Mathematics, 2019
Abstract We classify smooth Fano threefolds with infinite automorphism groups.
Przyjalkowski, V. V.   +2 more
openaire   +3 more sources

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