Groups St Andrews 2001 in Oxford: Volume 1 (London Mathematical Society Lecture Note Series)

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Groups St Andrews 2001 in Oxford: Volume 1 (London Mathematical Society Lecture Note Series)

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  • 製本 Paperback:紙装版/ペーパーバック版/ページ数 306 p.
  • 言語 ENG
  • 商品コード 9780521537391
  • DDC分類 512.2

Full Description

This first volume of the two-volume book contains selected papers from the international conference 'Groups St Andrews 2001 in Oxford' which was held at the University of Oxford in August 2001. Five main lecture courses were given at the conference, and articles based on their lectures form a substantial part of the Proceedings. This volume contains the contributions from Marston Conder (Auckland), Persi Diaconis (Stanford) and Marcus Du Sautoy (Cambridge). The series of Proceedings of Groups St Andrews conferences have provided snapshots of the state of research in group theory throughout the past twenty years. As with earlier volumes, these refereed volumes also contain accessible surveys of contemporary research fronts, as well as a diverse collection of short research articles. They form a valuable reference for researchers, especially graduate students, working in group theory.

Contents

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.