Introduction; 1. Permutability and subnormality in finite groups M. J. Alejandre, A. Ballester-Bolinches, R. Esteban-Romero and M. C. Pedraza-Aguilera; 2. (Pro)-finite and (topologically) locally finite groups with a CC-subgroup Z. Arad and W. Herfort; 3. Table algebras generated by elements of small degrees Z. Arad and M. Muzychuk; 4. Subgroups which are a union of a given number of conjugacy classes A. R. Ashraf and H. Sahraei; 5. Some results on finite factorized groups A. Ballester-Bolinches, J. Cossey, X. Guo and M. C. Pedraza-Aguilera; 6. On nilpotent-like Fitting formations A. Ballester-Bolinches, A. Martínez-Pastor, M. C. Pedraza-Aguilera and M. D. Pérez-Ramos; 7. Locally finite groups with min-p for all primes p A. Ballester-Bolinches and T. Pedraza; 8. Quasi-permutation representations of 2-groups of class 2 with cyclic centre H. Behravesh; 9. Groups acting on bordered Klein surfaces with maximal symmetry E. Bujalance, F. J. Cirre and P. Turbek; 10. Breaking points in subgroup lattices G. Calugareanu and M. Deaconescu; 11. Group actions on graphs, maps and surfaces with maximum symmetry M. D. E. Conder; 12. On dual pronormal subgroups and Fitting classes A. D'Aniello and M. D. Pérez-Ramos; 13. (p; q; r)-generations of the sporadic group O'N M. R. Darafsheh, A. R. Ashrafi and G. A. Moghani; 14. Computations with almost-crystallographic groups K. Dekimpe and B. Eick; 15. Random walks on groups: characters and geometry P. Diaconis; 16. On distances of 2-groups and 3-groups A. Drápal; 17. Zeta functions of groups: the quest for order versus the flight from ennui M. P. F. du Sautoy; 18. Some factorizations involving hypercentrally embedded subgroups in finite soluble groups L. M. Ezquerro and X. Soler-Escrivá; 19. Elementary theory of groups B. Fine, A. M. Gaglione, A. G. Myasnikov, G. Rosenberger and D. Spellman; 20. Andrews-Curtis and Todd-Coxeter proof words G. Havas and C. Ramsay; 21. Short balanced presentations of perfect groups G. Havas and C. Ramsay; 22. Finite p-extensions of free pro-p groups W. Herfort and P. A. Zalesskii; 23. Elements and groups of finite length M. Herzog, P. Longobardi and M. Maj; 24. Logged rewriting and identities among relators A. Heyworth and C. D. Wensley; 25. A characterization of F4(q) where q is an odd prime power A. Iranmanesh and B Khosravi; 26. On associated groups of rings Y. B. Ishchuk.

This first volume contains selected papers from the conference 'Groups St Andrews 2001 in Oxford'.