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.
Author(s): Michael Atkinson, Nick Gilbert, James Howie, Steve Linton, Edmund Robertson
Series: London Mathematical Society Lecture Note Series
Publisher: CUP
Year: 2000
Language: English
Pages: 288
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
