CiNii Books - Groups St Andrews 2001 in Oxford

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.

Table of 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. Martinez-Pastor, M. C. Pedraza-Aguilera and M. D. Perez-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. Perez-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. Drapal
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-Escriva
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.

Volume: v. 2 ISBN 9780521537407

Description

This second 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 Peter Palfy (Eotvos Lorand, Budapest) and Michael Vaughan-Lee (Oxford). 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.

Table of Contents

Introduction
27. Gracefulness, group sequencings and graph factorizations G. Kaplan, A. Lev and Y. Roditty
28. Orbits in finite group actions T. M. Keller
29. Groups with finitely generated integral homologies D. H. Kochloukova
30. Invariants of discrete groups, Lie algebras and pro-p groups D. H. Kochloukova
31. Groups with all non-subnormal subgroups of finite rank L. A. Kurdachenko and P. Soules
32. On some infinite dimensional linear groups L. A. Kurdachenko and I. Y. Subbotin
33. Groups and semisymmetric graphs S. Lipschutz and Ming-Yao Xu
34. On the covers of finite groups M. S. Lucido
35. Groupland O. Macedonska
36. On maximal nilpotent pi-subgroups J Medina
37. Characters of p-groups and Sylow p-subgroups A. Moreto
38. On the relation between group theory and loop theory M. Niemenmaa
39. Groups and lattices P. P. Palfy
40. Finite generalized tetrahedron groups with a cubic relator G. Rosenberger, M. Scheer and R. M. Thomas
41. Character degrees of the Sylow p-subgroups of classical groups J. Sangroni
42. Character correspondences and perfect isometries L. Sanus
43. The characters of finite projective symplectic group PSp(4
q) M. A. Shahabi and H. Mohtadifar
44. Exponent of finite groups with automorphisms P. Shumyatsky
45. Classifying irreducible representations in characteristic zero A. Turull
46. Lie methods in group theory M. R. Vaughan-Lee
47. Chevalley groups of type G2 as automorphism groups of loops P. Vojtechovsky.

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Groups St Andrews 2001 in Oxford

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