Discrete Groups and Geometry

ISBN-13: 9780521429320 / Angielski / Miękka / 1992 / 260 str.

W. J. Harvey; Cheryl MacLachlan; C. MacLachlan

Opis

This volume contains a selection of refereed papers presented in honour of A.M. Macbeath, one of the leading researchers in the area of discrete groups. The subject has been of much current interest of late as it involves the interaction of a number of diverse topics such as group theory, hyperbolic geometry, and complex analysis.

Recenzje

' … an exemplary overview of the present state of discrete group theory.' International Mathematical News

Spis treści

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.