Discrete Groups and Geometry
Series: London Mathematical Society Lecture Note Series; 173;
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Product details:
- Publisher Cambridge University Press
- Date of Publication 30 July 1992
- ISBN 9780521429320
- Binding Paperback
- No. of pages260 pages
- Size 229x151x18 mm
- Weight 374 g
- Language English 0
Categories
Short description:
Proceedings of the conference held at the University of Birmingham in honour of Professor A. M. Macbeath. Many interesting papers are included from respected figures, on discrete group theory.
MoreLong description:
This book constitutes the proceedings of a conference held at the University of Birmingham to mark the retirement of Professor A. M. Macbeath. The papers represent up-to-date work on a broad spectrum of topics in the theory of discrete group actions, ranging from presentations of finite groups through the detailed study of Fuchsian and crystallographic groups, to applications of group actions in low dimensional topology, complex analysis, algebraic geometry and number theory. For those wishing to pursue research in these areas, this volume offers a valuable summary of contemporary thought and a source of fresh geometric insights.
' ... an exemplary overview of the present state of discrete group theory.' International Mathematical News
Table of Contents:
1. Symmetries of modular surfaces; 2. On lifting group actions to covering spaces; 3. A combinatorial approach to symmetries of M and M-1 Riemann surfaces; 4. Euler characteristics of graph products of Coxeter groups; 5. Inequalities for Pell equations and Fuchsian groups; 6. On regular oriented triangular maps with automorphism group PSL(2,q); 7. An example of an infinite group; 8. Moduli spaces of Riemann surfaces with symmetry; 9. Modular groups: geometry and physics; 10. The Poincar&&&233; series of Gieseking groups; 11. The mondromy genus of exceptional representations of PSL(2,q); 12. The geometry of bending quasi-Fuchsian groups; 13. On the rank of NEC groups; 14. Theory of Fuchsian groups; 15. Farey series and sums of continued fractions; 16. Comensurability classes of 2-generator Fuchsian groups; 17. Existence of Garnett points; 18. Diagonalising Eisenstein series III; 19. Some remarks on 2-generator hyperbolic manifolds; 20. Generating sets for finite groups; 21. Group actions on R-trees with/without fixed points.
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