Results 61 to 70 of about 34,720 (216)

Limits of Baumslag-Solitar groups and dimension estimates in the space of marked groups [PDF]

open access: yes, 2010
We prove that the limits of Baumslag-Solitar groups which we previously studied are non-linear hopfian C*-simple groups with infinitely many twisted conjugacy classes.
Guyot, Luc, Stalder, Yves
core  

The groups of automorphisms of the Witt Wn and Virasoro Lie algebras [PDF]

open access: yesCzechoslovak Mathematical Journal, 2013
Let Ln = K[x1±1,..., xn±1] be a Laurent polynomial algebra over a field K of characteristic zero, Wn:= DerK(Ln) the Lie algebra of K-derivations of the algebra Ln, the so-called Witt Lie algebra, and let Vir be the Virasoro Lie algebra which is a 1 ...
V. Bavula
semanticscholar   +1 more source

Free groups and automorphism groups of infinite fields

open access: yes, 2012
Let be a cardinal with = ^{\aleph_0} and p be either 0 or a prime number. We show that there are fields K_0 and K_1 of cardinality and characteristic p such that the automorphism group of K_0 is a free group of cardinality 2^ and the automorphism group of K_1 is a free abelian group of cardinality 2^ . This partially answers a question from [8]
Lücke, Philipp, Shelah, Saharon
openaire   +2 more sources

Module structure of Weyl algebras

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The seminal paper (Stafford, J. Lond. Math. Soc. (2) 18 (1978), no. 3, 429–442) was a major step forward in our understanding of Weyl algebras. Beginning with Serre's Theorem on free summands of projective modules and Bass' Stable Range Theorem in commutative algebra, we attempt to trace the origins of this work and explain how it led to ...
Gwyn Bellamy
wiley   +1 more source

On the automorphisms of a graph product of abelian groups

open access: yes, 2007
We study the automorphisms of a graph product of finitely-generated abelian groups W. More precisely, we study a natural subgroup Aut* W of Aut W, with Aut* W = Aut W whenever vertex groups are finite and in a number of other cases.
Gutierrez, Mauricio   +2 more
core   +2 more sources

Coxeter's enumeration of Coxeter groups

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract In a short paper that appeared in the Journal of the London Mathematical Society in 1934, H. S. M. Coxeter completed the classification of finite Coxeter groups. In this survey, we describe what Coxeter did in this paper and examine an assortment of topics that illustrate the broad and enduring influence of Coxeter's paper on developments in ...
Bernhard Mühlherr, Richard M. Weiss
wiley   +1 more source

Tree automorphisms and quasi-isometries of Thompson's group F [PDF]

open access: yes, 2008
We prove that automorphisms of the infinite binary rooted tree T2 do not yield quasi-isometries of Thompson's group F, except for the map which reverses orientation on the unit interval, a natural outer automorphism of F.
Cleary, Sean   +2 more
core  

Automorphisms and endomorphisms of lacunary hyperbolic groups [PDF]

open access: yesGroups, Geometry, and Dynamics, 2016
In this article we study automorphisms and endomorphisms of lacunary hyperbolic groups. We show that if a lacunary hyperbolic group has the fix point property for actions on $\mathbb R$-trees, then its outer automorphism group is locally finite.
Rémi Coulon, Vincent Guirardel
semanticscholar   +1 more source

C.T.C. Wall's 1964 articles on 4‐manifolds

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract I survey C. T. C. Wall's influential papers, ‘Diffeomorphisms of 4‐manifolds’ and ‘On simply‐connected 4‐manifolds’, published in 1964 on pp. 131–149 of volume 39 of the Journal of the London Mathematical Society.
Mark Powell
wiley   +1 more source

Several Remarks on Groups of Automorphisms of Free Groups [PDF]

open access: yesJournal of Mathematical Sciences, 2013
Let G\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathbb{G} $$\end ...
Yury Neretin
semanticscholar   +1 more source

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