Computational and Geometric Aspects of Modern Algebra

by Edited by Michael Atkinson , Nick Gilbert , James Howie , Steve Linton , Edmund Robertson

• ISBN13: 9780521788892
• ISBN10: 0521788897
• Format: Paperback
• Copyright: 2000-06-19
• Publisher: Cambridge University Press

Summary

This book comprises a collection of papers from participants at the IMCS Workshop on Computational and Geometric Aspects of Modern Algebra, held at Heriot-Watt University in 1998. Written by leading researchers, the papers cover a wide range of topics in the vibrant areas of word problems in algebra and geometric group theory. This book represents a timely record of recent work and provides an indication of the key areas of future development.

Table of Contents

Foreword	vi
Participants	vii
Lie Methods in Growth of Groups and Groups of Finite Width	1	(27)
Laurent Bartholdi
Rostislav I. Grigorchuk
Translation numbers of groups acting on quasiconvex spaces	28	(11)
Gregory R. Conner
On a term rewriting system controlled by sequences of integers	39	(15)
Ales Drapal
On certain finite generalized tetrahedron groups	54	(12)
M Edjvet
G Rosenberger
M Stille
R M Thomas
Efficient computation in word-hyperbolic groups	66	(12)
David B. A. Epstein
Derek F. Holt
Constructing hyperbolic manifolds	78	(9)
B. Everitt
C. Maclachlan
Computing in groups with exponent six	87	(14)
George Havas
M F Newman
Alice C Niemeyer
Charles C Sims
Rewriting as a special case of non-commutative Grobner basis theory	101	(5)
Anne Heyworth
Detecting 3-manifold presentations	106	(14)
Cynthia Hog-Angeloni
In search of a word with special combinatorial properties	120	(8)
Stepan Holub
Cancellation diagrams with non-positive curvature	128	(22)
Gunther Huck
Stephan Rosebrock
Some Applications of Prefix-Rewriting in Monoids, Groups, and Rings	150	(42)
Klaus Madlener
Friedrich Otto
Verallgemeinerte Biasinvarianten und ihre Berechnung	192	(16)
Wolfgang Metzler
On groups which act freely and properly on finite dimensional homotopy spheres	208	(21)
Guido Mislin
Olympia Talelli
On Confinal Dynamics of Rooted Tree Automorphisms	229	(17)
V V Nekrashevych
V I Sushchansky
An asymptotic invariant of surface groups	246	(8)
Amnon Rosenmann
A cutpoint tree for a continuum	254	(12)
Eric L Swenson
Generalised triangle groups of type (2, m, 2)	266
Alun G T Williams