Groups St Andrews 1997 in Bath

doi:10.1017/CBO9781107360228

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Volume 1
Edited by C. M. Campbell, University of St Andrews, Scotland, E. F. Robertson, University of St Andrews, Scotland, N. Ruskuc, University of St Andrews, Scotland, G. C. Smith, University of Bath

Publisher:: Cambridge University Press
Online publication date:: August 2013
Print publication year:: 1999
Online ISBN:: 9781107360228
DOI:: https://doi.org/10.1017/CBO9781107360228

Subjects:: Mathematics (general), Mathematics, Algebra
Series:: London Mathematical Society Lecture Note Series (260)

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This two-volume book contains selected papers from the international conference 'Groups St Andrews 1997 in Bath'. The articles 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.

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Contents

Frontmatter
pp i-iv
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Contents
pp v-vi
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Contents of Volume II
pp vii-viii
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Introduction
pp ix-x
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Radical rings and products of groups
pp 1-19
- By B Amberg, Fachbereich Mathematik der Universität Mainz, Y P Sysak, Institute of Mathematics
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Homogeneous integral table algebras of degrees two, three and four with a faithful element
pp 20-29
- By Z Arad, Bar-Ilan University
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A polynomial-time theory of black box groups I
pp 30-64
- By L Babai, University of Chicago, R Beals, University of Arizona
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Totally and mutually permutable products of finite groups
pp 65-68
- By A Ballester-Bolinches, Universidad de València, M D Pérez-Ramos, Universidad de València, M C Pedraza-Aguilera, Universidad Politécnica de Valencia
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Ends and algebraic directions of pseudogroups
pp 69-80
- By A Bis, University of Lódź
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On locally nilpotent groups with the minimal condition on centralizers
pp 81-84
- By V Bludov, Irkutsk State University
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Infinite groups in projective and symplectic geometry
pp 85-123
- By F Bogomolov, Courant Institute, L Katzarkov, U.S.A.
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Non-positive curvature in group theory
pp 124-175
- By M R Bridson, Mathematical Institute
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Group-theoretic applications of non-commutative toric geometry
pp 176-194
- By C J B Brookes, Corpus Christi College
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Theorems of Kegel-Wielandt type
pp 195-201
- By A Carocca, Pontifícia Universidad Católica de Chile, R Maier, Universidade de Brasilia
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Singly generated radicals associated with varieties of groups
pp 202-210
- By C Casacuberta, Universitat Autónoma de Barcelona, J L Rodríguez, Universitat Autónoma de Barcelona, D Scevenels, Centre de Recerca Matemàtica
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The word problem in groups of cohomological dimension
pp 211-218
- By D J Collins, Queen Mary and Westfold College, C F Miller, University of Melbourne
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Polycyclic-by-finite groups: from affine to polynomial structures
pp 219-236
- By K Dekimpe, Katholieke Universiteit Leuven
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On groups with rank restrictions on subgroups
pp 237-247
- By M R Dixon, University of Alabama, M J Evans, University of Alabama, H Smith, Bucknell University
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On distances of multiplication tables of groups
pp 248-252
- By A Drápal, Charles University
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The Dade conjecture for the McLaughlin group
pp 253-266
- By G Entz, Germany, H Pahlings, Germany
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Automorphism groups of certain non-quasiprimitive almost simple graphs
pp 267-274
- By X G Fang, The University of Queensland, G Havas, The University of Queensland, J Wang, Peking University
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Subgroups of the upper-triangular matrix group with maximal derived length and a minimal number of generators
pp 275-281
- By S P Glasby, The University of the South Pacific
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On p-pronormal subgroups of finite p-soluble groups
pp 282-289
- By M Gomez-Fernandez, Universidad Pública de Navarra
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On the system of defining relations and the Schur multiplier of periodic groups generated by finite automata
pp 290-317
- By R I Grigorchuk, Steklov Mathematical Institute
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On the dimension of groups acting on buildings
pp 318-328
- By J Harlander, Universität Frankfurt
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Dade's conjecture for the simple Higman-Sims group
pp 329-345
- By N M Hassan, Eötvös Lorànd University, E Horvàth, Technical University of Budapest
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On the F*-theorem
pp 346-352
- By M Hertweck, Universität Stuttgart, W Kimmerle, Universität Stuttgart
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Covering numbers for groups
pp 353-355
- By M Herzog, Tel-Aviv University
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Characterizing subnormally closed formations
pp 356-362
- By M C Hofmann, Skidmore College
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Symmetric words in a free nilpotent group of class 5
pp 363-367
- By W Holubowski, Silesian Technical University
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Groups St Andrews 1997 in Bath

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Contents

Frontmatter
pp i-iv

Contents
pp v-vi

Contents of Volume II
pp vii-viii

Introduction
pp ix-x

Radical rings and products of groups
pp 1-19

Homogeneous integral table algebras of degrees two, three and four with a faithful element
pp 20-29

A polynomial-time theory of black box groups I
pp 30-64

Totally and mutually permutable products of finite groups
pp 65-68

Ends and algebraic directions of pseudogroups
pp 69-80

On locally nilpotent groups with the minimal condition on centralizers
pp 81-84

Infinite groups in projective and symplectic geometry
pp 85-123

Non-positive curvature in group theory
pp 124-175

Group-theoretic applications of non-commutative toric geometry
pp 176-194

Theorems of Kegel-Wielandt type
pp 195-201

Singly generated radicals associated with varieties of groups
pp 202-210

The word problem in groups of cohomological dimension
pp 211-218

Polycyclic-by-finite groups: from affine to polynomial structures
pp 219-236

On groups with rank restrictions on subgroups
pp 237-247

On distances of multiplication tables of groups
pp 248-252

The Dade conjecture for the McLaughlin group
pp 253-266

Automorphism groups of certain non-quasiprimitive almost simple graphs
pp 267-274

Subgroups of the upper-triangular matrix group with maximal derived length and a minimal number of generators
pp 275-281

On p-pronormal subgroups of finite p-soluble groups
pp 282-289

On the system of defining relations and the Schur multiplier of periodic groups generated by finite automata
pp 290-317

On the dimension of groups acting on buildings
pp 318-328

Dade's conjecture for the simple Higman-Sims group
pp 329-345

On the F*-theorem
pp 346-352

Covering numbers for groups
pp 353-355

Characterizing subnormally closed formations
pp 356-362

Symmetric words in a free nilpotent group of class 5
pp 363-367

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Groups St Andrews 1997 in Bath

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