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Discrete Groups and Geometry : London Mathematical Society Lecture Note Series - W. J. Harvey

Discrete Groups and Geometry

London Mathematical Society Lecture Note Series

By: W. J. Harvey (Editor), C. Maclachlan (Editor)

Paperback

Published: 28th September 1992
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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.

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

Symmetries of modular surfaces
On lifting group actions to covering spaces
A combinatorial approach to symmetries of M and M-1 Riemann surfaces
Euler characteristics of graph products of Coxeter groups
Inequalities for Pell equations and Fuchsian groups
On regular oriented triangular maps with automorphism group PSL(2,q)
An example of an infinite group
Moduli spaces of Riemann surfaces with symmetry
Modular groups: geometry and physics
The Poincare series of Gieseking groups
The mondromy genus of exceptional representations of PSL(2,q)
The geometry of bending quasi-Fuchsian groups
On the rank of NEC groups
Theory of Fuchsian groups
Farey series and sums of continued fractions
Comensurability classes of 2-generator Fuchsian groups
Existence of Garnett points
Diagonalising Eisenstein series III
Some remarks on 2-generator hyperbolic manifolds
Generating sets for finite groups
Group actions on R-trees with/without fixed points
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521429320
ISBN-10: 0521429323
Series: London Mathematical Society Lecture Note Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 260
Published: 28th September 1992
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.5
Weight (kg): 0.39