Group Theory from a Geometrical Viewpoint

The Table of Contents for the book is as follows:

• Preface

• I. HYPERBOLIC GROUPS

  • Notes on word hyperbolic groups

  • Notes on Gromov's hyperbolicity criterion for path-metric spaces

  • Quasiconvexity and a theorem of Howson's

  • Sous-groupes à deux générateurs des groups hyperboliques

• II. COXETER GROUPS AND BUILDINGS

  • An invitation to Coxeter groups

  • Five lectures on buildings

  • The group of values of a W-distance is a Coxeter group

  • Growth series of Coxeter groups

• III. NON–POSITIVELY CURVED POLYHEDRA

  • Constructions of hyperbolic groups via hyperbolization of polyhedra

  • Geodesics and curvature in metric simplicial complexes

  • Hyperbolizations

  • Non-positively curved triangles of groups

  • Complexes of groups and orbihedra

• IV. ACTIONS ON TREES

  • Dendrology and its applications

  • Cocycles bornés et actions de groupes sur les arbres réels

  • A quick introduction to Burnside's problem

• V. MISCELLANEOUS

  • Projective aspects of the Higman-Thompson group

  • Hyperbolic geometry and the subgroups of the modular group

  • Identities among relations of group presentations

  • Closures of totally geodesic immersions in manifolds of constant negative curvature

• List of Contributors