Computational and Geometric Aspects of Modern Algebra (London Mathematical Society Lecture Note Series)

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. Cover......Page 1 Series Titles......Page 2 Title Page......Page 4 Copyright......Page 5 Contents......Page 6 Foreword......Page 7 Participants......Page 8 Lie Methods in Growth of Groups and Groups of Finite Width......Page 10 Translation numbers of groups acting on quasiconvex spaces......Page 37 On a term rewriting system controlled by sequences of integers......Page 48 On certain finite generalized tetrahedron groups......Page 63 Efficient computation in word-hyperbolic groups......Page 75 Constructing hyperbolic manifolds......Page 87 Computing in groups with exponent six......Page 96 Rewriting as a special case of non-commutative Grobner basis theory......Page 110 Detecting 3-manifold presentations......Page 115 In search of a word with special combinatorial properties......Page 129 Cancellation diagrams with non-positive curvature......Page 137 Some Applications of Prefix-Rewriting in Monoids, Groups, and Rings......Page 159 Verallgemeinerte Biasinvarianten und ihre Berechnung......Page 201 On groups which act freely and properly on finite dimensional homotopy spheres......Page 217 On Confinal Dynamics of Rooted Tree Automorphisms......Page 238 An asymptotic invariant of surface groups......Page 255 A cutpoint tree for a continuum......Page 263 Generalised triangle groups of type (2, m, 2)......Page 275 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 leading researchers in the fields of word problems in algebra and geometric group theory. The papers cover a wide range of topics in algebra, representing a timely record of recent work and providing an indication of the key areas of future development. ABSTRACT. In the first, mostly expository, part of this paper, a graded Lie algebra is associated to every group G given with an N-series of subgroups.