Geometric Group Theory

by Arzhantseva, Goulnara N.; Bartholdi, Laurent; Burillo, Jose; Ventura, Enric

• ISBN13: 9783764384111
• ISBN10: 3764384115
• Format: Hardcover
• Copyright: 2007-09-30
• Publisher: Birkhauser

Summary

This volume assembles research papers in geometric and combinatorial group theory. This wide area may be defined as the study of those groups that are defined by their action on a combinatorial or geometric object, in the spirit of Klein's programme.The contributions range over a wide spectrum: limit groups, groups associated with equations, with cellular automata, their structure as metric objects, their decomposition, etc. Their common denominator is the language of group theory, used to express and solve problems ranging from geometry to logic.

Table of Contents

Preface	p. vii
Totally Disconnected, Locally Compact Groups as Geometric Objects. A survey of work in progress	p. 1
Computational Explorations in Thompson's Group F	p. 21
On the Surjunctivity of Artinian Linear Cellular Automata over Residually Finite Groups	p. 37
Some Residually Finite Groups Satisfying Laws	p. 45
Classifying Spaces for Wallpaper Groups	p. 51
A General Construction of JSJ Decompositions	p. 65
Décompositions de Groupes par Produit Direct et Groupes de Coxeter	p. 75
Limit Groups of Equationally Noetherian Groups	p. 103
Solution of the Conjugacy Problem and Malnormality of Subgroups in Certain Relative Small Cancellation Group Presentations	p. 121
Solution of the Membership Problem for Magnus Subgroups in Certain One-Relator Free Products	p. 169
Conjugacy and Centralizers for Iwip Automorphisms of Free Groups	p. 197
Algebraic Extensions in Free Groups	p. 225
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