書誌事項

Groups St Andrews 1989

edited by C.M. Campbell and E.F. Robertson

(London Mathematical Society lecture note series, 159, 160)

Cambridge University Press, 1991

  • v. 1
  • v. 2

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注記

Proceedings of an international conference 'Groups - St Andrews 1989' held in the Mathematical Institute, Univ. of St Andrews, Scotland, 29 July - 12 Aug. 1989

Includes bibliographies

内容説明・目次

巻冊次

v. 1 ISBN 9780521398497

内容説明

These volumes contain selected papers presented at the international conference on group theory held in St Andrews in 1989. The themes of the conference were combinatorial and computational group theory; four leading group theorists (J. A. Green, N. D. Gupta, O. H. Kegel and J. G. Thompson) gave courses whose content is reproduced here. Also included are refereed papers presented at the meeting. The many articles with their wealth of references demonstrate the richness and vitality of modern group theory and its varied connections with other areas of mathematics. These will be essential references for research and postgraduate mathematicians whose work involves group theory.

目次

  • Introduction
  • 1. Triply factorized groups B. Amberg
  • 2. An introduction to a class of two relator groups I. L. Anshel
  • 3. An infinite family of nonabelian simple table algebras not induced by finite nonabelian simple groups Z. Arad and H. Blau
  • 4. Horace Y. Mochizuki: In Memoriam S. Bachmuth
  • 5: Bounds on character degrees and class numbers of finite nonabelian simple groups E. A. Bertram and M. Herzog
  • 6. Finite presentability and Heisenberg representations C. J. B. Brookes
  • 7. On nilpotent groups acting on Klein surfaces E. Bujalance and G. Gromadzki
  • 8. Some algorithms for polycyclic groups F. B. Cannonito
  • 9. On the regularity conditions for coloured graphs A. F. Costa
  • 10. Multiplet classification of highest weight modules over quantum universal enveloping algebras: the Uq(SL(3,C)) example V. K. Dobrev
  • 11. Solutions of certain sets of equations over groups M. Edjvet
  • 12. Generalizing algebraic properties of Fuchsian groups B. Fine and G. Rosenberger
  • 13. A theorem on free products of special abelian groups A. M. Gaglione and H. V. Waldinger
  • 14. Schur algebras and general linear groups J. A. Green
  • 15. On Coxeter's groups Gp,q,r L. C. Grove and J. M. McShane
  • 16. Integral dimension subgroups N. D. Gupta.
巻冊次

v. 2 ISBN 9780521406697

内容説明

These volumes contain selected papers presented at the international conference on group theory held in St Andrews in 1989. The themes of the conference were combinatorial and computational group theory; four leading group theorists (J. A. Green, N. D. Gupta, O. H. Kegel and J. G. Thompson) gave courses whose content is reproduced here. Also included are refereed papers presented at the meeting. The many articles with their wealth of references demonstrate the richness and vitality of modern group theory and its varied connections with other areas of mathematics. These will be essential references for research and postgraduate mathematicians whose work involves group theory.

目次

  • Introduction
  • 17. A survey of recent results on projective representations of the symmetric groups J. F. Humphreys
  • 18. Some applications of group theory in combinatorial group theory A. Ivanov and A. Yu. Ol'Shanskii
  • 19. Rational growth of wreath products D. L. Johnson
  • 20. The modular group and generalized Farey graphs G. A. Jones, D. Singerman and K. Wicks
  • 21. On the n-centre of a group L. C. Kappe and M. L. Newell
  • 22. Existentially closed finitary linear groups O. H. Kegel and D. Schmidt
  • 23. Permutability and subnormality of subgroups R. R. Maier
  • 24. Some applications of powerful p-groups A. Mann
  • 25. Combinatorial aspects of finitely generated virtually free groups T. Muller
  • 26. Problems in loop theory for group theorists M. Niemenmaa
  • 27. Sylow theory of CC-groups - a survey J. Otal and J. M. Pena
  • 28. On the minimal number of generators of certain groups L. Ribes and K. Wong
  • 29. Lie properties of modular group algebras E. Rips and A. Shalev
  • 30. Observations on a conjecture of Hans Zassenhaus K. W. Roggenkamp
  • 31.The Fibonacci groups revisited R. M. Thomas
  • 32. Galois groups J. G. Thompson
  • 33. Infinite simple permutation groups - a survey J. K. Truss
  • 34. Polynomial 2-cycles L. R. Vermiani.

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詳細情報

  • NII書誌ID(NCID)
    BA1195110X
  • ISBN
    • 0521398495
    • 0521406692
  • 出版国コード
    uk
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Cambridge ; New York
  • ページ数/冊数
    2 v.
  • 大きさ
    23 cm
  • 分類
  • 件名
  • 親書誌ID
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