# Groups St Andrews 2005: Volume 2: v. 2 (London Mathematical Society Lecture Note Series)

Cambridge University Press, 1/4/2007

EAN 9780521694704, ISBN10: 0521694701

Paperback, 350 pages, 22.8 x 15.2 x 2 cm

Language: English

'Groups St Andrews 2005' was held in the University of St Andrews in August 2005 and this second volume of a two-volume book contains selected papers from the international conference. Four 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 by John Meakin (Lincoln, Nebraska) and ÃƒÂkos Seress (Ohio State). Apart from the main speakers, refereed survey and research articles were contributed by other conference participants. Arranged in alphabetical order, these articles cover a wide spectrum of modern group theory. The regular Proceedings of Groups St Andrews conferences have provided snapshots of the state of research in group theory throughout the past 25 years. Earlier volumes have had a major impact on the development of group theory and it is anticipated that this volume will be equally important.

Introduction

1. Groups and semigroups

connections and contrasts John Meakin

2. Toward the classification of s-arc transitive graphs ÃƒÂkos Seress

3. Non-cancellation group computation for some finitely generated nilpotent groups Habtay Ghebrewold

4. Permutation and quasi-permutation representations of the Chevalley groups Maryam Ghorbany

5. The shape of solvable groups with odd order S. P. Glasby

6. Embedding in finitely presented lattice-ordered groups

explicit presentations for constructions A. M. W. Glass, Vincenzo Marra and Daniele Mundici

7. A note on abelian subgroups of p-groups George Glauberman

8. On kernel flatness Akbar Golchin

9. On proofs in finitely presented groups George Havas and Colin Ramsay

10. Computing with 4-Engel groups George Havas and M. R. Vaughan-Lee

11. On the size of the commutator subgroup in finite groups Marcel Herzog, Gil Kaplan and Arieh Lev

12. Groups of infinite matrices Waldemar Holubowski

13. Triply factorised groups and nearrings Peter Hubert

14. On the space of cyclic trigonal Riemann surfaces of genus 4 Milagros Izquierdo and Daniel Ying

15. On simple Kn-groups for n = 5, 6 A. Jafarzadeh and A. Iranmanesh

16. Products of Sylow subgroups and the solvable radical Gil Kaplan and Dan Levy

17. On commutators in groups Luise-Charlotte Kappe and Robert Fitzgerald Morse

18. Inequalities for the Baer invariant of finite groups Saeed Kayvanfar

19. Automorphisms with centralizers of small rank Evgeny Khukhro and Victor Mazurov

20. 2-signalizers and normalizers of Sylow 2-subgroups in finite simple groups Anatoly S. Kondratiev and Victor D. Mazurov

21. On properties of abnormal and pronormal subgroups in some infinite groups Leonid A. Kurdachenko, Javier Otal and Igor Ya. Subbotin

22. P-localizing group extensions Karl Lorensen

23. On the n-covers of exceptional groups of Lie type Maria Silvia Lucido

24. Positively discriminating groups O. Macedonska

25. Automorphism groups of some chemical graphs G. A. Moghani, A. R. Ashrafi and M. R. Admadi

26. On c-normal subgroups of some classes of finite groups Z. Mostaghim

27. Fong characters and their fields of values Lucia Sanus

28. Arithmetical properties of finite groups W. J. Shi

29. On prefrattini subgroups of finite groups

a survey X. Soler-EscrivÃƒÂ

30. Frattini extensions and class field theory Th. Weigel

31. The nilpotency class of groups with fixed point free automorphisms of prime order Lawrence Wilson.