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Klappentext A number of eminent mathematicians were invited to Bielefeld, Germany in 1999 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. The contributions are geared to specialists and aspiring graduate and post-graduate students interested in pursuing additional research. Zusammenfassung Survey and research articles from the 1999 Bielefeld conference on topological! combinatorial and arithmetic aspects of (infinite) groups. All contributions are written in a relaxed and attractive style! accessible to specialists and also post-graduate students! who will find inspiration for a number of research projects at various levels of difficulty. Inhaltsverzeichnis 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 and C. Series; 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....
