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.
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.
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.
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.
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