Groups

Topological, Combinatorial and Arithmetic Aspects

T. W. Müller - Collection London Mathematical Society Student Texts

587 pages, parution le 02/04/2004

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Résumé

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.

Contributors
H. Abels, P. Abramenko, H. Behr, R. Bieri, R. Geoghegan, K. U. Bux, P. Cameron, I. Chiswell, D. J. Collins, R. I. Grigorchuk, J. S. Wilson, H. Helling, A. Mann, T. W. Müller, V. Nekrashevych, S. Sidki, J. R. Parker, C. Series, B. Remy, D. Segal, E. B. Vinberg, R. Kaplinsky

Sommaire

Reductive groups as metric spaces
Finiteness properties of groups acting on twin buildings
Higher finiteness properties of S-arithmetic groups in the function field case
Controlled topology and group actions
Finiteness properties of soluble S-arithmetic groups - a survey
Topology in permutation groups
Euler characteristics of discrete groups
Intersection of Magnus subgroups of one-relator groups
A minimality property of certain branch groups
Lattices with non-integral character
Some applications of probability in group theory
Parity patterns in Hecke groups and Fermat primes
Automorphisms of the binary tree: state-closed subgroups and dynamics of 1/2-endomorphisms
The mapping class group of the twice punctured torus
Kac-Moody groups: split and relative theories Lattices
On the finite images of infinite groups
Pseudo-finite generalized triangle groups

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	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	T. W. Müller
Collection	London Mathematical Society Student Texts
Parution	02/04/2004
Nb. de pages	587
Format	15 x 22,5
Couverture	Broché
Poids	770g
Intérieur	Noir et Blanc
EAN13	9780521542876
ISBN13	978-0-521-54287-6