Groups St Andrews 1997 in Bath

by Edited by C. M. Campbell , E. F. Robertson , N. Ruskuc , G. C. Smith

• ISBN13: 9780521655767
• ISBN10: 0521655765
• Format: Paperback
• Copyright: 1999-03-13
• Publisher: Cambridge University Press

Summary

This two-volume book contains selected papers from the international conference "Groups St. Andrews 1997 in Bath". The articles are arranged in roughly alphabetical order 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 contributed by other conference participants. Proceedings of earlier "Groups St. Andrews" conferences have had a major impact on the development of group theory and these volumes should be equally important.

Table of Contents

Volume I
Introduction	ix
Radical rings and products of groups	1	(19)
B Amberg
Y P Sysak
Homogeneous integral table: algebras of degrees two, three and four with a faithful element	20	(10)
Z Arad
A polynomial-time theory of black box groups I	30	(35)
L Babai
R Beals
Totally and mutually permutable products of finite groups	65	(4)
A Ballester-Bolinches
M D Perez-Ramos
M C Pedraza-Aguilera
Ends and algebraic directions of pseudogroups	69	(12)
A Bis
On locally nilpotent groups with the minimal condition on centralizers	81	(4)
V Bludov
Infinite groups in projective and symplectic geometry	85	(39)
F Bogomolov
L Katzarkov
Non-positive curvature in group theory	124	(52)
M R Bridson
Group-theoretic applications of non-commutative toric geometry	176	(19)
C J B Brookes
Theorems of Kegel-Wielandt type	195	(7)
A Carocca
R Maier
Singly generated radicals associated with varieties of groups	202	(9)
C Casacuberta
J L Rodriguez
D Scevenels
The word problem in groups of cohomological dimension 2	211	(8)
D J Collins
C F Miller III
Polycyclic-by-finite groups: from affine to polynomial structures	219	(18)
K Dekimpe
On groups with rank restrictions on subgroups	237	(11)
M R Dixon
M J Evans
H Smith
On distances of multiplication tables of groups	248	(5)
A Drapal
The Dade conjecture for the McLaughlin group	253	(14)
G Entz
H Pahlings
Automorphism groups of certain non-quasiprimitive almost simple graphs	267	(8)
X G Fang
G Havas
J Wang
Subgroups of the upper-triangular matrix group with maximal derived length and a minimal number of generators	275	(7)
S P Glasby
On p-pronomal subgroups of finite p-soluble groups	282	(8)
M Gomez-Fernandez
On the system of defining relations and the Schur multiplier of periodic groups generated by finite automata	290	(28)
R I Grigorchuk
On the dimension of groups acting on buildings	318	(11)
J Harlander
Dade's conjecture for the simple Higman-Sims group	329	(17)
N M Hassan
E Horvath
On the F*-theorem	346	(7)
M Hertweck
W Kimmerle
Covering numbers for groups	353	(3)
M Herzog
Characterizing subnormally closed formations	356	(7)
M C Hofmann
Symmetric words in a free nilpotent group of class 5	363	(5)
W Holubowski
A non-residually finite square of finite groups	368
T Hsu
D T Wise