Computational and Geometric Aspects of Modern Algebra

doi:10.1017/CBO9780511600609

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Edited by Michael Atkinson, University of St Andrews, Scotland, Nick Gilbert, Heriot-Watt University, Edinburgh, James Howie, Heriot-Watt University, Edinburgh, Steve Linton, University of St Andrews, Scotland, Edmund Robertson, University of St Andrews, Scotland

Publisher:: Cambridge University Press
Online publication date:: July 2010
Print publication year:: 2000
Online ISBN:: 9780511600609
DOI:: https://doi.org/10.1017/CBO9780511600609

Subjects:: Mathematics (general), Mathematics, Algebra
Series:: London Mathematical Society Lecture Note Series (275)

54.99 (GBP)

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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.

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Computational and Geometric Aspects of Modern Algebra

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Frontmatter
pp i-iv

Contents
pp v-v

Foreword
pp vi-vi

Participants
pp vii-viii

1 - Lie Methods in Growth of Groups and Groups of Finite Width
pp 1-27

2 - Translation numbers of groups acting on quasiconvex spaces
pp 28-38

3 - On a term rewriting system controlled by sequences of integers
pp 39-53

4 - On certain finite generalized tetrahedron groups
pp 54-65

5 - Efficient computation in word-hyperbolic groups
pp 66-77

6 - Constructing hyperbolic manifolds
pp 78-86

7 - Computing in groups with exponent six
pp 87-100

8 - Rewriting as a special case of non-commutative Gröbner basis theory
pp 101-105

9 - Detecting 3-manifold presentations
pp 106-119

10 - In search of a word with special combinatorial properties
pp 120-127

11 - Cancellation diagrams with non-positive curvature
pp 128-149

12 - Some Applications of Prefix-Rewriting in Monoids, Groups, and Rings
pp 150-191

13 - Verallgemeinerte Biasinvarianten und ihre Berechnung
pp 192-207

14 - On groups which act freely and properly on finite dimensional homotopy spheres
pp 208-228

15 - On Confinal Dynamics of Rooted Tree Automorphisms
pp 229-245

16 - An asymptotic invariant of surface groups
pp 246-253

17 - A cutpoint tree for a continuum
pp 254-265

18 - Generalised triangle groups of type (2, m, 2)
pp 266-279

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Computational and Geometric Aspects of Modern Algebra

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