This resource 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 articles 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.