Book contents
- Frontmatter
- Contents
- Foreword
- Participants
- 1 Lie Methods in Growth of Groups and Groups of Finite Width
- 2 Translation numbers of groups acting on quasiconvex spaces
- 3 On a term rewriting system controlled by sequences of integers
- 4 On certain finite generalized tetrahedron groups
- 5 Efficient computation in word-hyperbolic groups
- 6 Constructing hyperbolic manifolds
- 7 Computing in groups with exponent six
- 8 Rewriting as a special case of non-commutative Gröbner basis theory
- 9 Detecting 3-manifold presentations
- 10 In search of a word with special combinatorial properties
- 11 Cancellation diagrams with non-positive curvature
- 12 Some Applications of Prefix-Rewriting in Monoids, Groups, and Rings
- 13 Verallgemeinerte Biasinvarianten und ihre Berechnung
- 14 On groups which act freely and properly on finite dimensional homotopy spheres
- 15 On Confinal Dynamics of Rooted Tree Automorphisms
- 16 An asymptotic invariant of surface groups
- 17 A cutpoint tree for a continuum
- 18 Generalised triangle groups of type (2, m, 2)
Foreword
Published online by Cambridge University Press: 06 July 2010
- Frontmatter
- Contents
- Foreword
- Participants
- 1 Lie Methods in Growth of Groups and Groups of Finite Width
- 2 Translation numbers of groups acting on quasiconvex spaces
- 3 On a term rewriting system controlled by sequences of integers
- 4 On certain finite generalized tetrahedron groups
- 5 Efficient computation in word-hyperbolic groups
- 6 Constructing hyperbolic manifolds
- 7 Computing in groups with exponent six
- 8 Rewriting as a special case of non-commutative Gröbner basis theory
- 9 Detecting 3-manifold presentations
- 10 In search of a word with special combinatorial properties
- 11 Cancellation diagrams with non-positive curvature
- 12 Some Applications of Prefix-Rewriting in Monoids, Groups, and Rings
- 13 Verallgemeinerte Biasinvarianten und ihre Berechnung
- 14 On groups which act freely and properly on finite dimensional homotopy spheres
- 15 On Confinal Dynamics of Rooted Tree Automorphisms
- 16 An asymptotic invariant of surface groups
- 17 A cutpoint tree for a continuum
- 18 Generalised triangle groups of type (2, m, 2)
Summary
We are pleased to present this selection of articles contributed by participants at a workshop on Computational and Geometric Aspects of Modern Algebra, which took place at Heriot-Watt University, 23–31 July 1998, under the auspices of the International Centre for Mathematical Sciences (ICMS).
The workshop was generously supported by the UK Engineering and Physical Sciences Research Council, with additional financial support from the London Mathematical Society, the Edinburgh Mathematical Society, and Heriot-Watt University. Its organisation was made infinitely smoother by the various assistance of Tracey Dart and Julie Brown of ICMS, and Isobel Johnston and Fiona Paterson of Heriot-Watt.
In the preparation of this volume, we have received invaluable help and advice from Roger Astley and Tamsin van Essen of CUP, numerous anonymous referees, and of course the contributors of the articles. To all of the above we wish to record our gratitude.
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- Publisher: Cambridge University PressPrint publication year: 2000