Computational and Geometric Aspects of Modern Algebra

A collection of papers from leading researchers in algebra and geometric group theory.

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

9780521788892, Cambridge University Press

Paperback, published 15 June 2000

290 pages, 26 b/w illus.
22.9 x 15.2 x 1.7 cm, 0.43 kg

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.

Forword
Participants
1. Lie methods in growth of groups and groups of finite width Laurent Bartholdi and Rostislav I. Grigorchuk
2. Translation numbers of groups acting on quasiconvex spaces Gregory R. Conner
3. On a term rewriting system controlled by sequences of integers Ales Drápal
4. On certain finite generalized tetrahedron groups M. Edjvet, G. Rosenberger, M. Stille and R. M. Thomas
5. Efficient computation in word-hyperbolic groups David B. A. Epstein and Derek F. Holt
6. Constructing hyperbolic manifolds B. Everitt and C. Maclachlan
7. Computing in groups with exponent six George Havas, M. F. Newman, Alice C. Niemeyer and Charles C. Sims
8. Rewriting as a special case of non-commutative Gröbner basis theory Anne Heyworth
9. Detecting 3-manifold presentations Cynthia Hog-Angeloni
10. In search of a word with special combinatorial properties Stepán Holub
11. Cancellation diagrams with non-positive curvature Günther Huck and Stephan Rosebrock
12. Some applications of prefix-rewriting in monoids, groups and rings Klaus Madlener and Friedrich Otto
13. Verallgemeinerte biasinvarianten und ihre berechnung Wolfgang Metzler
14. On groups which act freely and properly on finite dimensional homotopy spheres Guido Mislin and Olympia Talelli
15. On confinal dynamics of rooted tree automorphisms V. V. Nekrashevych and V. I. Suchansky
16. An asymptotic invariant of surface groups Amnon Rosenmann
17. A cutpoint tree for a continuum Eric L. Swenson
18. Generalised triangle groups of type (2, m, 2) Alun G. T. Williams.

Subject Areas: Algebra [PBF]