Selected papers presented at the 1989 international conference on group theory held in St Andrews.

Introduction; 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. Cannonito; 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. Waldinger; 14. Schur algebras and general linear groups J. A. Green; 15. On Coxeter's groups Gp,q,r L. C. Grove and J. M. McShane; 16. Integral dimension subgroups N. D. Gupta.