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Klappentext Selected papers presented at the 1989 international conference on group theory held in St Andrews. Zusammenfassung A selection of papers by leading group theorists presented at the 1989 international conference on group theory held in St Andrews. The themes of the conference were combinatorial and computational group theory. The many articles with their wealth of references demonstrate the richness and vitality of modern group theory. Inhaltsverzeichnis 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.