This proceedings presents the latest research materials done on group theory from geometrical viewpoint in particular Gromov's theory of hyperbolic groups, Coxeter groups, Tits buildings and actions on real trees. All these are very active subjects.
Sample Chapter(s)
Notes on Word Hyperbolic Groups (5,246 KB)
Contents:
- Notes on Gromov's Hyperbolicity Criterion for Path-Metric Spaces (B H Bowditch)
- An Invitation to Coxeter Groups (P de la Harpe)
- Constructions of Hyperbolic Groups Via Hyperbolization of Polyhedra (F Paulin)
- Geodesics and Curvature in Metric Simplicial Complexes (M R Bridson)
- Non-Positively Curved Triangles of Groups (J R Stallings)
- Complexes of Groups and Orbihedra (A Haefliger)
- Dendrology and its Applications (P B Shalen)
- Cocycles Bornés et Actions de Groupes Sur Les Arbres Réels (J Barge & E Ghys)
- A Quick Introduction to Burnside's Problem (V Sergiescu)
- Hyperbolic Geometry and the Subgroups of the Modular Group (R S Kulkarni)
- Note on Word Hyperbolic Groups (H Short)
- Five Lectures on Buildings (K S Brown)
- and other papers
Readership: Mathematicians.
“Geometric aspects of group theory have enjoyed tremendous resurgence during the past decade. That includes substantial stimulus to combinatorial group theory, Coexter graph and buildings, along with the new theory of hyperbolic groups … The present volume by leading specialists-presents a broad perspective on the subject with special attention both to the needs of research students and to those at the frontiers of research.”
James Eells