Groups St Andrews 1997 in Bath

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.

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

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Groups St Andrews 1997 in Bath

Summary

Table of Contents

Supplemental Materials