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Klappentext This first volume contains selected papers from the conference 'Groups St Andrews 2001 in Oxford'. Zusammenfassung This first volume contains selected papers from the conference 'Groups St Andrews 2001 in Oxford'. The articles are contributed by leading researchers and cover a wide spectrum of modern group theory. There are articles based on lecture courses given by five main speakers together with refereed survey and research articles. Inhaltsverzeichnis 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....