Results 51 to 60 of about 12,736,939 (290)

The Tits alternative for the automorphism group of a free product [PDF]

Inventiones Mathematicae, 2014
Let G=G1∗…∗Gk∗F\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$G=G_{1 ...
Camille Horbez
semanticscholar   +1 more source

Limit pretrees for free group automorphisms: existence

Forum of Mathematics, Sigma
To any free group automorphism, we associate a real pretree with several nice properties. First, it has a rigid/non-nesting action of the free group with trivial arc stabilizers.
Jean Pierre Mutanguha
doaj   +1 more source

Toeplitz subshift whose automorphism group is not finitely generated [PDF]

, 2014
We compute an explicit representation of the (topological) automorphism group or a particular Toeplitz subshift. The automorphism group is a (non-finitely generated) subgroup of rational numbers under addition and the shift map corresponds to the ...
Ville Salo
semanticscholar   +1 more source

The Automorphism Group of Hall's Universal Group

, 2017
We study the automorphism group of Hall's universal locally finite group $H$. We show that in $Aut(H)$ every subgroup of index $< 2^\omega$ lies between the pointwise and the setwise stabilizer of a unique finite subgroup $A$ of $H$, and use this to ...
Paolini, Gianluca, Shelah, Saharon
core   +1 more source

Automorphisms of groups

Journal of Algebra, 2007
Let \({\mathcal E}\colon N\rightarrowtail G\twoheadrightarrow Q\) be a group extension with coupling \(\chi\colon Q\to\text{Out\,}N\). If \(\Aut\,{\mathcal E}=\{\gamma\in\Aut\,G\mid N^\gamma=N\}\), \(\text{Comp}(\chi)\) the group of all compatible pairs for \(\chi\) and \(A\) the center of \(N\) regarded as a \(Q\)-module via \(\chi\) then it is known [
openaire   +2 more sources

The automorphism group of a shift of subquadratic growth [PDF]

, 2014
For a subshift over a finite alphabet, a measure of the complexity of the system is obtained by counting the number of nonempty cylinder sets of length $n$.
Van Cyr, Bryna Kra
semanticscholar   +1 more source

The affine automorphism group of A^3 is not a maximal subgroup of the tame automorphism group

, 2014
We construct explicitly a family of proper subgroups of the tame automorphism group of affine three-space (in any characteristic) which are generated by the affine subgroup and a non-affine tame automorphism. One important corollary is the titular result
Edo, Eric, Lewis, Drew
core   +2 more sources

Extraspecially Irreducible Groups [PDF]

Advances in Group Theory and Applications, 2016
Given distinct prime numbers $q$ and $r$, we construct a semidirect product $CR$ with $R\vartriangleleft CR$, where $C$ is a cyclic group of order $q$, and $R$ is an extraspecial $r$-group, such that $C$ centralizes $R'$, and $R$ is minimal among the ...
R. Dark, A.D. Feldman, M.D. Pérez-Ramos
doaj   +1 more source

Local equivalence and refinements of Rasmussen's s‐invariant

Journal of Topology, Volume 19, Issue 1, March 2026.
Abstract Inspired by the notions of local equivalence in monopole and Heegaard Floer homology, we introduce a version of local equivalence that combines odd Khovanov homology with equivariant even Khovanov homology into an algebraic package called a local even–odd (LEO) triple.
Nathan M. Dunfield, Robert Lipshitz, Dirk Schütz   +2 more
wiley   +1 more source

A Kazhdan group with an infinite outer automorphism group [PDF]

Surveys in Mathematics and its Applications, 2012
D. Kazhdan has introduced in 1967 the Property (T) for local compact groups (see [D. Kazhdan, Connection of the dual space of a group with the structure of its closed subgroups, Funct. Anal. Appl. 1 (1967)]). In this article we prove that for n ≥ 3 and m
Traian Preda
doaj