Combinatorial and Geometric Group Theory, Edinburgh 1993

by Edited by Andrew J. Duncan , N. D. Gilbert , James Howie

• ISBN13: 9780521465953
• ISBN10: 0521465958
• Format: Paperback
• Copyright: 1995-01-27
• Publisher: Cambridge University Press

Summary

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.