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Discrete Groups and Geometry

Discrete Groups and Geometry


Part of London Mathematical Society Lecture Note Series

  • Date Published: July 1992
  • availability: Available
  • format: Paperback
  • isbn: 9780521429320

£ 37.99

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About the Authors
  • 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.

    Reviews & endorsements

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

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    Product details

    • Date Published: July 1992
    • format: Paperback
    • isbn: 9780521429320
    • length: 260 pages
    • dimensions: 229 x 152 x 15 mm
    • weight: 0.39kg
    • availability: Available
  • 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 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.

  • Editors

    W. J. Harvey, King's College London

    C. Maclachlan, University of Aberdeen

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