Groups - St Andrews 1981

Klappentext This book contains selected papers from the international conference 'Groups - St Andrews 1981', held at the University of St Andrews in July/August 1981. Zusammenfassung This book contains selected papers from the international conference 'Groups - St Andrews 1981'! 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. Inhaltsverzeichnis 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....

Inhalt

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.