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Proceedings of Groups - St. Andrews 1985

Proceedings of Groups - St. Andrews 1985

Part of London Mathematical Society Lecture Note Series

I S. Bachmuth, H. Y. Mochizuki, G. Baumsslag, P. M. Neumann, J. E. Roseblade, J. Tits, H. Abels, F. R. Beyl, G. Rosenberger, R. Brandl, H. K. Farahat, P. A. Ferguson, B. Fine,s A. M. Gaglione, H. V. Waldinger, A. M. W. Glass, L. C. Grove, K. S. Wang, J. Howie, D. L. Johnson, R. J. Thomas, G. A. Jones, A. Juhasz, J. P. Labute, F. Leinen, F. Levin, G. Rosenberger, A. Lubotsky, R. C. Lyndon, I. D. Macdonald, A. Mann, E. Martinez, D. Perez Ramos, K. W. Roggenkamp, L. L. Scott, J. Sarli, C. M. Scoppola, D. Segal, T. Tollis, M. J. Tomkinson, J. K. Truss, R. A. Wilson.
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  • Date Published: May 2013
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9781107108066

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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.

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    Product details

    • Date Published: May 2013
    • format: Adobe eBook Reader
    • isbn: 9781107108066
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    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.

  • Editors

    E. F. Robertson

    Colin Matthew Campbell

    Contributors

    I S. Bachmuth, H. Y. Mochizuki, G. Baumsslag, P. M. Neumann, J. E. Roseblade, J. Tits, H. Abels, F. R. Beyl, G. Rosenberger, R. Brandl, H. K. Farahat, P. A. Ferguson, B. Fine,s A. M. Gaglione, H. V. Waldinger, A. M. W. Glass, L. C. Grove, K. S. Wang, J. Howie, D. L. Johnson, R. J. Thomas, G. A. Jones, A. Juhasz, J. P. Labute, F. Leinen, F. Levin, G. Rosenberger, A. Lubotsky, R. C. Lyndon, I. D. Macdonald, A. Mann, E. Martinez, D. Perez Ramos, K. W. Roggenkamp, L. L. Scott, J. Sarli, C. M. Scoppola, D. Segal, T. Tollis, M. J. Tomkinson, J. K. Truss, R. A. Wilson.

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