Groups: Topological, Combinatorial and Arithmetic Aspects: 311

Groups: Topological, Combinatorial and Arithmetic Aspects: 311 book cover

Groups: Topological, Combinatorial and Arithmetic Aspects: 311

Author(s): T. W. Müller

  • Publisher: Cambridge University Press
  • Publication Date: 8 April 2004
  • Edition: Illustrated
  • Language: English
  • Print length: 604 pages
  • ISBN-10: 0521542871
  • ISBN-13: 9780521542876

Book Description

In 1999 a number of eminent mathematicians were invited to Bielefeld to present lectures at a conference on topological, combinatorial and arithmetic aspects of (infinite) groups. The present volume consists of survey and research articles invited from participants in this conference. Topics covered include topological finiteness properties of groups, Kac-Moody groups, the theory of Euler characteristics, the connection between groups, formal languages and automata, the Magnus-Nielsen method for one-relator groups, atomic and just infinite groups, topology in permutation groups, probabilistic group theory, the theory of subgroup growth, hyperbolic lattices in dimension three, generalised triangle groups and reduction theory. All contributions are written in a relaxed and attractive style, accessible not only to specialists, but also to good graduate and post-graduate students, who will find inspiration for a number of basic research projects at various levels of technical difficulty.

Editorial Reviews

Book Description

Survey and research articles from the Bielefeld conference on topological, combinatorial and arithmetic aspects of groups.

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