These volumes contain selected papers presented at the international conference on group theory held in St Andrews in 1989. The themes of the conference were combinatorial and computational group theory; four leading group theorists (J. A. Green, N. D. Gupta, O. H. Kegel and J. G. Thompson) gave courses whose content is reproduced here. Also included are refereed papers presented at the meeting. The many articles with their wealth of references demonstrate the richness and vitality of modern group theory and its varied connections with other areas of mathematics. These will be essential references for research and postgraduate mathematicians whose work involves group theory.
Table of Contents
1. Triply factorized groups B. Amberg
2. An introduction to a class of two relator
groups I. L. Anshel
3. An infinite family of nonabelian simple
table algebras not induced by finite nonabelian
simple groups Z. Arad and H. Blau
4. Horace Y. Mochizuki: In Memoriam S. Bachmuth
5: Bounds on character degrees and class
numbers of finite nonabelian simple groups E.
A. Bertram and M. Herzog
6. Finite presentability and Heisenberg
representations C. J. B. Brookes
7. On nilpotent groups acting on Klein surfaces
E. Bujalance and G. Gromadzki
8. Some algorithms for polycyclic groups F. B.
9. On the regularity conditions for coloured
graphs A. F. Costa
10. Multiplet classification of highest weight
modules over quantum universal enveloping
algebras: the Uq(SL(3,C)) example V. K. Dobrev
11. Solutions of certain sets of equations over
groups M. Edjvet
12. Generalizing algebraic properties of
Fuchsian groups B. Fine and G. Rosenberger
13. A theorem on free products of special
abelian groups A. M. Gaglione and H. V.
14. Schur algebras and general linear groups J.
15. On Coxeter's groups Gp,q,r L. C. Grove and
J. M. McShane
16. Integral dimension subgroups N. D. Gupta.