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

Cambridge University Press, 11/6/2003

EAN 9780521537391, ISBN10: 0521537398

Paperback, 306 pages, 22.9 x 15.2 x 2 cm

Language: English

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.

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. MartÃƒÂnez-Pastor, M. C. Pedraza-Aguilera and M. D. PÃƒÂ©rez-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. PÃƒÂ©rez-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. DrÃƒÂ¡pal

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-EscrivÃƒÂ¡

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.