Groups : topological, combinatorial, and arithmetic aspects / edited by T.W. Müller.

Format:

Book

Contributor:

Müller, T. W. (Thomas Wolfgang), 1957- editor.

Series:

London Mathematical Society lecture note series ; 311.

London Mathematical Society lecture note series ; 311

Language:

English

Subjects (All):

Group theory.

Physical Description:

1 online resource (xvi, 587 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2004.

Language Note:

English

Summary:

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.

Contents:

1. Reductive groups as metric spaces H. Abels

2. Finiteness properties of groups acting on twin buildings P. Abramenko

3. Higher finiteness properties of S-arithmetic groups in the function field case I H. Behr

4. Controlled topology and group actions R. Bieri and R. Geoghegan

5. Finiteness properties of soluble S-arithmetic groups: a survey K.U. Bux

6. Topology in permutation groups P. Cameron

7. Euler characteristics of discrete groups I. Chiswell

8. Intersection of Magnus subgroups of one-relator groups D.J. Collins

9. A minimality property of certain branch groups R.I. Grigorchuk and J.S. Wilson

10. Lattices with non-integral character H. Helling

11. Some applications of probability in group theory A. Mann

12. Parity patterns in Hecke groups and Fermat primes T.W. Müller

13. Automorphisms of the binary tree: state-closed subgroups and dynamics of 1/2-endomorphisms V. Nekrashevych and S. Sidki

14. The mapping class group of the twice punctured torus J.R. Parker

15. Kac-Moody groups: split and relative theories. Lattices B. Remy

16. On the finite images of infinite groups D. Segal

17. Pseudo-finite generalized triangle groups E.B. Vinberg and R. Kaplinsky.

Notes:

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

Includes bibliographical references.

ISBN:

1-139-88215-5

1-107-36722-0

1-107-37182-1

1-107-36231-8

1-107-36823-5

1-299-40488-X

1-107-36476-0

0-511-55070-7