Del 173 - London Mathematical Society Lecture Note Series

Discrete Groups and Geometry

Häftad, Engelska, 1992

AvW. J. Harvey,C. Maclachlan,W. J. (King's College London) Harvey,C. (University of Aberdeen) Maclachlan,Cheryl MacLachlan

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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.

Produktinformation

Utgivningsdatum1992-07-30
Mått151 x 229 x 18 mm
Vikt374 g
FormatHäftad
SpråkEngelska
SerieLondon Mathematical Society Lecture Note Series
Antal sidor260
FörlagCambridge University Press
ISBN9780521429320

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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 Poincaré 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.