Results 21 to 30 of about 166,026,527 (169)
A note on fixed points of automorphisms of infinite groups [PDF]
International 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
European 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
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Automorphisms of real Lie algebras of dimension five or less [PDF]
, 2013 The Lie algebra version of the Krull-Schmidt Theorem is formulated and proved. This leads to a method for constructing the automorphisms of a direct sum of Lie algebras from the automorphisms of its indecomposable components.
Gray, RJ +8 more
core +1 more source
On automorphism groups of Toeplitz subshifts
Discrete 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]
Publicacions Matemàtiques, 2017 23 pages, 13 ...
Hernández, Jesús Hernández +1 more
openaire +5 more sources
Applications of Lie methods to computations with polycyclic groups [PDF]
, 2008 In this thesis we demonstrate the algorithmic usefulness of the so-called Mal'cev correspondence for computations with infinite polycyclic groups.
Assmann, Björn
core +2 more sources
Fano threefolds with infinite automorphism groups [PDF]
Izvestiya: Mathematics, 2019 Abstract We classify smooth Fano threefolds with infinite automorphism groups.
Przyjalkowski, V. V. +2 more
openaire +3 more sources
Normal automorphisms of relatively hyperbolic groups
, 2010 An automorphism of a group G is normal if it fixes every normal subgroup of G setwise. We give an algebraic description of normal automorphisms of relatively hyperbolic groups.
D. Osin +3 more
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Derivations and automorphisms of locally matrix algebras and groups
Доповiдi Нацiональної академiї наук УкраїниWe 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
Compact Manifolds With Unbounded Nilpotent Fundamental Groups and Positive Ricci Curvature
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT It follows from the work of Kapovitch and Wilking that a closed manifold with nonnegative Ricci curvature has a uniformly almost nilpotent fundamental group. Leftover questions and conjectures, have asked if in this context the fundamental group is actually uniformly almost abelian. The main goal of this work is to construct examples (Mk9,gk)$(
Elia Bruè, Aaron Naber, Daniele Semola
wiley +1 more source