The maximal factorizations of the finite simple groups and their automorphism groups /

Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Liebeck, M. W. (Martin W.), 1954- (Author), Praeger, Cheryl E., 1948- (Author), Saxl, J. (Jan), 1948- (Author)
Format: Electronic eBook
Language:Inglés
Published: Providence, Rhode Island : American Mathematical Society, 1990.
Series:Memoirs of the American Mathematical Society ; Volume 86, no. 432.
Subjects:
Finite simple groups.
Maximal subgroups.
Factorization (Mathematics)
Automorphisms.
Groupes simples finis.
Sous-groupes maximaux.
Factorisation.
Automorphismes.
Automorphisms
Finite simple groups
Maximal subgroups
Online Access:Texto completo
Table of Contents:
  • Contents
  • Chapter 1: Introduction
  • Chapter 2: Preliminaries
  • Chapter 3: Classical groups of large dimension: factorizations as a product of two geometric subgroups
  • Chapter 4: Classical groups of large dimension: factorizations in which one of the factors is non-geometric
  • Chapter 5: Classical groups of small dimension
  • Chapter 6: Factorizations of sporadic groups
  • Chapter 7: Factorizations of alternating groups
  • Chapter 8: Factorizations of exceptional groups of Lie type
  • Chapter 9: On maximal subgroups of symmetric and alternating groups
  • Appendix 1: Lower bounds for dimensions of representations of sporadic groupsAppendix 2: Uniqueness of certain representations of Suz and Co[sub(1)]
  • Appendix 3: Orbit decomposition of B[sub(4)](q) on a spin module
  • References

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