Colin Campbell is a Reader in Pure Mathematics at the School of Mathematics and Statistics, University of St Andrews. Martyn Quick is a Lecturer in Pure Mathematics at the School of Mathematics and Statistics, University of St Andrews. Edmund Robertson is a Professor of Mathematics at the School of Mathematics and Statistics, University of St Andrews. Geoff Smith is a Senior Lecturer at the Department of Mathematical Sciences, University of Bath.

• Introduction; 1. Aspects of infinite permutation groups Peter J. Cameron; 2. Self-similarity and branching in group theory Rostislav Grigorchuk and Zoran Sunic; 3. On surface groups: motivating examples in combinatorial group theory Peter Ackermann, Benjamin Fine and Gerhard Rosenberger; 4. Nilpotent p-algebras and factorized p-groups Bernhard Amberg and Lev Kazarin; 5. Classification of finite groups by the number of element centralizers Ali Reza Ashrafi and Bijan Taeri; 6. Algorithmic use of the Mal'cev correspondence Bjoern Assmann; 7. Minimal but inefficient presentations for semi-direct products of finite cyclic monoids Firat Ates and A. Sinan Ç evik; 8. The modular isomorphism problem for finite p-groups with a cyclic subgroup of index p2 Czeslaw Baginski and Alexander Konovalov; 9. On one-generated formations A. Ballester-Bolinches, Clara Calvo and R. Esteban-Romero; 10. New results on products of finite groups A. Ballester-Bolinches, John Cossey and M. C. Pedraza-Aguilera; 11. Radical locally finite T-groups A. Ballester-Bolinches, H. Heineken and Tatiana Pedraza; 12. Explicit tilting complexes for the Broué conjecture on 3-blocks Ayala Bar-Ilan, Tzviya Berrebi, Genadi Chereshnya, Ruth Leabovich, Mikhal Cohen and Mary Schaps; 13. Conjugacy classes of p-regular elements in p-solvable groups Antonio Beltrán and Maria José Felipé; 14. An algorithm for the unit group of the Burnside ring of a finite group Robert Boltje and Götz Pfeiffer; 15. Integral group ring of the first Mathieu simple group Victor Bovdi and Alexander Konovalov; 16. Embedding properties in direct products B. Brewster, A. Martinez-Pastor and M. D. Pérez-Ramos; 17. Malcev presentations for subsemigroups of groups - a survey Alan J. Cain; 18. Finite groups with extremal conditions on sizes of conjugacy classes and on degrees of irreducible characters David Chillag and Marcel Herzog; 19. Conjugacy class structure in simple algebraic groups Martin Cook; 20. On automorphisms of products of groups Jill Dietz; 21. Linear groups with infinite central dimension Martyn R. Dixon and Leonid A. Kurdachenko; 22. G-automata, counter languages and the Chomsky hierarchy Murray Elder; 23. An embedding theorem for groups universally equivalent to free nilpotent groups Benjamin Fine, Anthony M. Gaglione and Dennis Spellman; 24. Irreducible word problems in groups Ana R. Fonseca, Duncan W. Parkes and Richard M. Thomas; 25. Recent growth results Eric M. Freden and Teresa Knudson.