This two-volume book contains selected papers from the international conference 'Groups 1993 Galway/St Andrews'.

1. An army of cohomology against residual finiteness; 2. On some questions concerning subnormally monomial groups; 3. A conjecture concerning the evaluation of products of class-sums of the symmetric group; 4. Automorphisms of Burnside rings; 5. On finite generation of unit groups for group rings; 6. Counting finite index subgroups; 7. The quantum double of a finite group and its role in conformal field theory; 8. Closure properties of supersoluble Fitting classes; 9. Groups acting on locally finite graphs - a survey of the infinitely ended case; 10. An invitation to computational group theory; 11. On subgroups, transversals and commutators; 12. Intervals in subgroup lattices of finite groups; 13. Amalgams of minimal local subgroups and sporadic simple groups; 14. Vanishing orbit sums in group algebras of p-groups; 15. From stable equivalences to Rickard equivalences for blocks with cyclic defect; 16. Factorizations in which the factors have relatively prime orders; 17. Some problems and results in the theory of pro-p groups; 18. On equations in finite groups and invariants of subgroups; 19. Group presentations where the relators are proper powers; 20. A condensing theorem; 21. Lie methods in group theory; 22. Some new results on arithmetical problems in the theory of finite groups; 23. Groups that admit partial power automorphisms; 24. Problems.