Proceedings of Groups - St. Andres 1985 [Paperback]

A current picture of progress and research in group theory is provided by five leading group theorists Bachmuth, Baumslag, Neumann, Roseblade and Tits.A current picture of progress and research in group theory is provided by five leading group theorists Bachmuth, Baumslag, Neumann, Roseblade and Tits.This book contains selected papers from the international conference Groups - St Andrews 1985. Five leading group theorists - Bachmuth, Baumslag, Neuman, Roseblade and Tits - have presented survey articles based on short lecture courses given at the conference and the rest of the book comprises both survey and research articles contributed by other conference speakers. The many articles with their wealth of references demonstrate the richness and vitality of modern group theory and its many connections with other area of mathematics. The book will prove invaluable to both experienced researchers and new postgraduates whose interests involve group theory.Introduction; 1. Automorphisms of solvable groups: I S. Bachmuth; 2. Automorphisms of solvable groups: II H. Y. Mochizuki; 3. A survey of groups with a single defining relation G. Baumsslag; 4. Some algorithms for computing with finite permutation groups P. M. Neumann; 5. Five lectures on group rings J. E. Roseblade; 6. Buildings and group amalgamations J. Tits; 7. Finite presentability of S-arithmetic groups H. Abels; 8. Efficient presentations of GL (2, Z) and PGL (2, Z) F. R. Beyl and G. Rosenberger; 9. The commutator map R. Brandl; 10. Polynomial functions and representations H. K. Farahat; 11. On questions of Brauer and Feit P. A. Ferguson; 12. The Picard group and the modular group B. Fine; 13. Factor groups of the lower central series of free products of finitely generated abelian groups A. M. Gaglione and H. V. Waldinger; 14. Lattice ordered groups - a very biased survey A. M. W. Glass; 15. Totally orthogonal finite groups L. C. Grove and K. S. Wang; 16. One-relator products of groups J. Howie; 17. The Cavicchioll³¢