Discrete groups and geometry : papers dedicated to A.M. Macbeath, proceedings of a conference at Birmingham University / edited by W.J. Harvey, in collaboration with C. Maclachlan.

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Symmetries of modular surfaces / M. Akbas and D. Singerman -- Lifting group actions to covering spaces / M.A. Armstrong -- A combinatorial approach to the symmetries of M and M-1 Riemann surfaces / E. Bujalance and A.F. Costa -- Inequalities for Pell equations and Fuchsian groups / J.H.H. Chalk -- The Euler characteristic of graph products and of Coxeter groups / I.M. Chiswell -- Infinite families of automorphism groups of Riemann surfaces / Marston D.E. Conder and Ravi S. Kulkarni -- Planar hyperelliptic Klein surfaces and fundamental regions of N.E.C. groups / A.F. Costa and E. Martínez -- An example of an infinite group / M. Edjvet -- Moduli of Riemann surfaces with symmetry / G. González-Díez and W.J. Harvey -- Modular groups, geometry and physics / W.J. Harvey -- On automorphisms of free products / A.H.M. Hoare and M.K.F. Lai -- The growth series of the Gieseking group / D.L. Johnson and H.-J. Song -- Exceptional representations of PSL2(q) of monodromy genus zero / Gareth A. Jones -- On the rank of NEC groups / Ralf Kaufmann and Heiner Zieschang -- The geometry of bending quasi-Fuchsian groups / Christos Kourouniotis -- Farey series and sums of continued fractions / Joseph Lehner -- Commensurability classes of two-generator Fuchsian groups / C. Maclachlan and G. Rosenberger -- Limit points via Schottky pairings / P.J. Nicholls and P.L. Waterman -- Diagonalizing Eisenstein series III / R.A. Rankin -- Some remarks on 2-generator hyperbolic 3-manifolds / A.W. Reid -- Uniformization, graded Riemann surfaces and supersymmetry / P. Teofilatto -- Generating sets for finite groups / Richard M. Thomas -- Group actions on trees with and without fixed points / D.L. Wilkens.

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.