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El. knyga: Proceedings of Groups - St. Andrews 1985

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This book contains selected papers from the international conference Groups - St Andrews 1985. Five leading group theorists - Bachmuth, Baumslag, Neuman, 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 area of mathematics. The book will prove invaluable to both experienced researchers and new postgraduates whose interests involve group theory.
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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