Mathematical Society of Japan Memoirs

A Course on Geometric Group Theory

Brian H. Bowditch

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Brian H. Bowditch

Publication information
MSJ Memoirs, Volume 16
Tokyo, Japan: The Mathematical Society of Japan, 2006
104 pp.

Publication date: 2006
First available in Project Euclid: 24 November 2014

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Mathematical Reviews (MathSciNet):
MR 2243589

Primary: 20F65: Geometric group theory [See also 05C25, 20E08, 57Mxx]

Copyright © 2006, The Mathematical Society of Japan

Brian H. Bowditch, A Course on Geometric Group Theory (Tokyo: The Mathematical Society of Japan, 2006)

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This volume is intended as a self-contained introduction to the basic notions of geometric group theory, the main ideas being illustrated with various examples and exercises. One goal is to establish the foundations of the theory of hyperbolic groups. There is a brief discussion of classical hyperbolic geometry, with a view to motivating and illustrating this.

The notes are based on a course given by the author at the Tokyo Institute of Technology, intended for fourth year undergraduates and graduate students, and could form the basis of a similar course elsewhere. Many references to more sophisticated material are given, and the work concludes with a discussion of various areas of recent and current research.