Results 61 to 70 of about 34,720 (216)
Limits of Baumslag-Solitar groups and dimension estimates in the space of marked groups [PDF]
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]
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
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
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
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
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]
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]
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
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]
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

