A collection of papers from leading researchers in algebra and geometric group theory.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.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.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 Dr?pal; 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. Computinl“=