Combinatorial and Geometric Group Theory, Edinburgh 1993

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  • Format: Paperback
  • Copyright: 1995-01-27
  • Publisher: Cambridge University Press
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The ICMS Workshop on Geometric and Combinatorial Methods in Group Theory, held at Heriot-Watt University in 1993, brought together some of the leading research workers in the subject. Some of the survey articles and contributed papers presented at the meeting are collected in this volume. The former cover a number of areas of current interest and include papers by: S. M. Gersten, R. I. Grigorchuk, P. H. Kropholler, A. Lubotzky, A. A. Razborov and E. Zelmanov. The contributed articles, all refereed, range over a wide number of topics in combinatorial and geometric group theory and related topics. The volume represents a summary of the current state of knowledge of the field, and as such will be indispensable to all research workers in the area.

Table of Contents

On bounded languages and the geometry of nilpotent groups M. R. Bridson and R. H. Gilman
Finitely presented groups and the finite generation of exterior powers C. J. B. Brookes
Semigroup presentations and minimal ideals C. M. Campbell, E. F. Robertson, N. Ruskuc and R. M. Thomas
Generalized trees and Lambda-trees I. M. Chiswell
The mathematician who had little wisdom: a story and some mathematics D. E. Cohen
Palindromic automorphisms of free groups D. J. Collins
A freiheitssatz for certain one-relator amalgamated products B. Fine, F. Roehl and G. Rosenberger
Isoperimetric functions of groups and exotic cohomology S. M. Gersten
Some embedding theorems and undecidability questions for groups C. M. Gordon
Some results on bounded cohomology R. I. Grigorchuk
On perfect subgroups of one-relator groups J. Harlander
Weight tests and hyperbolic groups G. Huck and S. Rosebrock
A non-residually finite, relatively finitely presented group in the variety N2A O. G. Kharlampovich and M. V. Sapir
Hierarchical decompositions, generalized Tate cohomology and groups of type FP
P. H. Kropholler
Tree-lattices and lattices in Lie groups A. Lubotzky
Generalizations of Fibonacci numbers, groups and manifolds C. Maclachlan
Knotted surfaces in the 4-sphere with no minimal Seifert manifolds T. Maeda
The higher geometric invariants of modules over Noetherian group rings H. Meinert
On calculation of width in free groups A. Yu Ol'shanskii
Hilbert modular groups and isoperimetric inequalities C. Pittet
On systems of equations in free groups A. A. Razborov
Cogrowth and essentiality in groups and algebras A. Rosenmann
Regular geodesic languages for 2-step nilpotent groups M. Stoll
Finding indivisible Nielsen paths for a train track map E. C. Turner
More on Burnside's problem E. Zelmanov
Problem session.

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