Groups - St Andrews 1981 (eBook, PDF)

Redaktion: Campbell, C. M.

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 28. Oktober 1982
• Englisch
• ISBN-13: 9781139242028
• Artikelnr.: 38447235

Inhaltsangabe

Preface; Twenty-five years of Groups St Andrews Conferences C. M. Campbell
and E. F. Robertson; Original introduction; 1. An elementary introduction
to coset table methods in computational group theory J. Neubüser; 2.
Applications of cohomology to the theory of groups D. J. S. Robinson; 3.
Groups with exponent four S. J. Tobin; 4. The Schur multiplier: an
elementary approach J. Wiegold; 5. A procedure for obtaining simplified
defining relations for a subgroup D. G. Arrell, S. Manrai and M. F.
Worboys; 6. GLn and the automorphism groups of free metabelian groups and
polynomial rings S. Bachmuth and H. Y. Mochizuki; 7. Isoclinisms of group
extensions and the Schur multiplicator F. R. Beyl; 8. The maximal subgroups
of the Chevalley group G2 (4) G. Butler; 9. Generators and relations for
the cohomology ring of Janko's first group in the first twenty-one
dimensions G. R. Chapman; 10. The Burnside group of exponent 5 with two
generators M. Hall Jr and C. C. Sims; 11. The orientability of subgroups of
plane groups A. H. M. Hoare and D. Singerman; 12. On groups with unbounded
non-archimedean elements A. H. M. Hoare and D. L. Wilkens; 13. An algorithm
for the second derived factor group J. R. Howse and D. L. Johnson; 14.
Finiteness conditions and the word problem V. Huber-Dyson; 15. Growth
sequences relative to subgroups W. Kimmerle; 16. On the centres of mapping
class groups of surfaces C. Maclachlan; 17. A glance at the early history
of group rings C. Polcino Milies; 18. Units of group rings: a short survey
C. Polcino Milies; 19. Subgroups of small cancellation groups: a survey S.
J. Pride; 20. On the hopficity and related properties of some two-generator
groups S. J. Pride and A. D. Vella; 21. The isomorphism problem and units
in group rings of finite groups K. W. Roggenkamp; 22. On one-relator groups
that are free products of two free groups with cyclic amalgamation G.
Rosenberger; 23. The algebraic structure of X0-categorical groups J. S.
Wilson; 24. Abstracts; 25. Addendum to: 'An elementary introduction to
coset table methods in computational group theory' C. M. Campbell, G. Havas
and E. F. Robertson; 26. Addendum to: 'Applications of cohomology to the
theory of groups' D. J. S. Robinson; 27. Addendum to 'Groups with exponent
four' S. J. Tobin; 28. Addendum to 'The Schur multiplier: an elementary
approach J. Wiegold.