Groups - St Andrews 1981

This book contains selected papers from the international conference 'Groups - St Andrews 1981', which was held at the University of St Andrews in July/August 1981. Its contents reflect the main topics of the conference: combinatorial group theory; infinite groups; general groups, finite or infinite; computational group theory. Four courses, each providing a five-lecture survey, given by J. Neubuser (Aachen), D. J. S. Robinson (Illinois), S. J. Tobin (Galway) and J. Wiengold (Cardiff), have been expanded into articles, forming the first part of the book. The second part consists of surveys and research articles written by other conference participants. More than two-thirds of the book is composed of survey articles providing a remarkably clear and up-to-date picture of those areas of group theory. The articles which comprise this book, together with their extensive bibliographies, will prove an invaluable tool to researchers in group theory, and, in addition, their detailed expositions make them very suitable for relevant postgraduate courses.

Preface
Twenty-five years of Groups St Andrews Conferences
Original introduction
An elementary introduction to coset table methods in computational group theory
Applications of cohomology to the theory of groups
Groups with exponent four
The Schur multiplier: an elementary approach
A procedure for obtaining simplified defining relations for a subgroup
GLn and the automorphism groups of free metabelian groups and polynomial rings
Isoclinisms of group extensions and the Schur multiplicator
The maximal subgroups of the Chevalley group G2 (4)
Generators and relations for the cohomology ring of Janko's first group in the first twenty-one dimensions
The Burnside group of exponent 5 with two generators
The orientability of subgroups of plane groups
On groups with unbounded non-archimedean elements
An algorithm for the second derived factor group
Finiteness conditions and the word problem
Growth sequences relative to subgroups
On the centres of mapping class groups of surfaces
A glance at the early history of group rings
Units of group rings: a short survey
Subgroups of small cancellation groups: a survey
On the hopficity and related properties of some two-generator groups
The isomorphism problem and units in group rings of finite groups
On one-relator groups that are free products of two free groups with cyclic amalgamation
The algebraic structure of X0-categorical groups
Abstracts
Addendum to: 'An elementary introduction to coset table methods in computational group theory'
Addendum to: 'Applications of cohomology to the theory of groups'
Addendum to 'Groups with exponent four'
Addendum to 'The Schur multiplier: an elementary approach
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Groups - St Andrews 1981

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