This book contains selected papers from the international conference Groups--St Andrews 1985. It provides a comprehensive picture of current progress and research in group theory. Five leading group theorists, Bachmuth, Baumslag, Neumann, Roseblade and Tits have presented survey articles based on short lecture courses given at the conference and the rest of the book comprises both survey and research articles contributed by other conference speakers. The many articles with their wealth of references demonstrate the richness and vitality of modern group theory and its many connections with…mehr
This book contains selected papers from the international conference Groups--St Andrews 1985. It provides a comprehensive picture of current progress and research in group theory. Five leading group theorists, Bachmuth, Baumslag, Neumann, Roseblade and Tits have presented survey articles based on short lecture courses given at the conference and the rest of the book comprises both survey and research articles contributed by other conference speakers. The many articles with their wealth of references demonstrate the richness and vitality of modern group theory and its many connections with other areas of mathematics. The book will prove invaluable to both experienced researchers and new postgraduates whose interests involve group theory.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Introduction 1. Automorphisms of solvable groups: I S. Bachmuth 2. Automorphisms of solvable groups: II H. Y. Mochizuki 3. A survey of groups with a single defining relation G. Baumsslag 4. Some algorithms for computing with finite permutation groups P. M. Neumann 5. Five lectures on group rings J. E. Roseblade 6. Buildings and group amalgamations J. Tits 7. Finite presentability of S-arithmetic groups H. Abels 8. Efficient presentations of GL (2, Z) and PGL (2, Z) F. R. Beyl and G. Rosenberger 9. The commutator map R. Brandl 10. Polynomial functions and representations H. K. Farahat 11. On questions of Brauer and Feit P. A. Ferguson 12. The Picard group and the modular group B. Fine 13. Factor groups of the lower central series of free products of finitely generated abelian groups A. M. Gaglione and H. V. Waldinger 14. Lattice ordered groups - a very biased survey A. M. W. Glass 15. Totally orthogonal finite groups L. C. Grove and K. S. Wang 16. One-relator products of groups J. Howie 17. The Cavicchioli groups are pairwise non-isomorphic D. L. Johnson and R. J. Thomas 18. Congruence and non-congruence subgroups of the modular group: a survey G. A. Jones 19. Small cancellation theory with non-homogeneous geometrical conditions and application to certain Artin groups A. Juhasz 20. The Lie algebra associated to the lower central series of a group J. P. Labute 21. Algebraically closed locally finite groups F. Leinen 22. On power-commutative and commutation transitive groups F. Levin and G. Rosenberger 23. Dimension function for discrete groups A. Lubotsky 24. Coset graphs R. C. Lyndon 25. Nilpotent quotient algorithms I. D. Macdonald 26. Generators of p-groups A. Mann 27. On the matrix groups associated to the isometrics of the hyperbolic plane E. Martinez 28. A characteristic subgroup of N-stable groups D. Perez Ramos 29. The isomorphism problem for integral group rings of finite nilpotent groups K. W. Roggenkamp and L. L. Scott 30. Embedding the root group geometry of 2F4(q) J. Sarli 31. On generalised Frobenius complements C. M. Scoppola 32. Subgroups of finite index in soluble groups: I D. Segal 33. Subgroups of finite index in soluble groups: II D. Segal 34. Some interconnections between group theory and logic T. Tollis 35. Groups covered by abelian subgroups M. J. Tomkinson 36. Embeddings of infinite permutation groups J. K. Truss 37. Maximal subgroups of sporadic groups R. A. Wilson.
Introduction 1. Automorphisms of solvable groups: I S. Bachmuth 2. Automorphisms of solvable groups: II H. Y. Mochizuki 3. A survey of groups with a single defining relation G. Baumsslag 4. Some algorithms for computing with finite permutation groups P. M. Neumann 5. Five lectures on group rings J. E. Roseblade 6. Buildings and group amalgamations J. Tits 7. Finite presentability of S-arithmetic groups H. Abels 8. Efficient presentations of GL (2, Z) and PGL (2, Z) F. R. Beyl and G. Rosenberger 9. The commutator map R. Brandl 10. Polynomial functions and representations H. K. Farahat 11. On questions of Brauer and Feit P. A. Ferguson 12. The Picard group and the modular group B. Fine 13. Factor groups of the lower central series of free products of finitely generated abelian groups A. M. Gaglione and H. V. Waldinger 14. Lattice ordered groups - a very biased survey A. M. W. Glass 15. Totally orthogonal finite groups L. C. Grove and K. S. Wang 16. One-relator products of groups J. Howie 17. The Cavicchioli groups are pairwise non-isomorphic D. L. Johnson and R. J. Thomas 18. Congruence and non-congruence subgroups of the modular group: a survey G. A. Jones 19. Small cancellation theory with non-homogeneous geometrical conditions and application to certain Artin groups A. Juhasz 20. The Lie algebra associated to the lower central series of a group J. P. Labute 21. Algebraically closed locally finite groups F. Leinen 22. On power-commutative and commutation transitive groups F. Levin and G. Rosenberger 23. Dimension function for discrete groups A. Lubotsky 24. Coset graphs R. C. Lyndon 25. Nilpotent quotient algorithms I. D. Macdonald 26. Generators of p-groups A. Mann 27. On the matrix groups associated to the isometrics of the hyperbolic plane E. Martinez 28. A characteristic subgroup of N-stable groups D. Perez Ramos 29. The isomorphism problem for integral group rings of finite nilpotent groups K. W. Roggenkamp and L. L. Scott 30. Embedding the root group geometry of 2F4(q) J. Sarli 31. On generalised Frobenius complements C. M. Scoppola 32. Subgroups of finite index in soluble groups: I D. Segal 33. Subgroups of finite index in soluble groups: II D. Segal 34. Some interconnections between group theory and logic T. Tollis 35. Groups covered by abelian subgroups M. J. Tomkinson 36. Embeddings of infinite permutation groups J. K. Truss 37. Maximal subgroups of sporadic groups R. A. Wilson.
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