Selected papers presented at the 1989 international conference on group theory held in St Andrews.Selected papers presented at the international conference on group theory held at St. Andrews in 1989 are combined in two volumes. The themes of the conference were combinatorial and computational group theory.Selected papers presented at the international conference on group theory held at St. Andrews in 1989 are combined in two volumes. The themes of the conference were combinatorial and computational group theory.These two volumes contain selected papers presented at the international conference on group theory held at St. Andrews in 1989. The themes of the conference were combinatorial and computational group theory; leading group theorists, including 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.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 l3(