Proceedings of Groups - St. Andrews 1985

by Edited by E. F. Robertson , Colin Matthew Campbell

• ISBN13: 9780521338547
• ISBN10: 0521338549
• Format: Paperback
• Copyright: 1987-02-27
• Publisher: Cambridge University Press

Summary

This book contains selected papers from the international conference Groups--St Andrews 1985. It provides a comprehensive picture of current progress and research in group theory. Five leading group theorists, Bachmuth, Baumslag, Neumann, 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 areas of mathematics. The book will prove invaluable to both experienced researchers and new postgraduates whose interests involve group theory.

Table of Contents

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 Cavicchioli groups are pairwise non-isomorphic D. L. Johnson and R. J. Thomas

18. Congruence and non-congruence subgroups of the modular group: a survey G. A. Jones

19. Small cancellation theory with non-homogeneous geometrical conditions and application to certain Artin groups A. Juhasz

20. The Lie algebra associated to the lower central series of a group J. P. Labute

21. Algebraically closed locally finite groups F. Leinen

22. On power-commutative and commutation transitive groups F. Levin and G. Rosenberger

23. Dimension function for discrete groups A. Lubotsky

24. Coset graphs R. C. Lyndon

25. Nilpotent quotient algorithms I. D. Macdonald

26. Generators of p-groups A. Mann

27. On the matrix groups associated to the isometrics of the hyperbolic plane E. Martinez

28. A characteristic subgroup of N-stable groups D. Perez Ramos

29. The isomorphism problem for integral group rings of finite nilpotent groups K. W. Roggenkamp and L. L. Scott

30. Embedding the root group geometry of 2F4(q) J. Sarli

31. On generalised Frobenius complements C. M. Scoppola

32. Subgroups of finite index in soluble groups: I D. Segal

33. Subgroups of finite index in soluble groups: II D. Segal

34. Some interconnections between group theory and logic T. Tollis

35. Groups covered by abelian subgroups M. J. Tomkinson

36. Embeddings of infinite permutation groups J. K. Truss

37. Maximal subgroups of sporadic groups R. A. Wilson.