Overgroups of sylow subgroups in sporadic groups /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Aschbacher, Michael, 1944- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 1986.
Colección:Memoirs of the American Mathematical Society ; Volume 60, no. 343.
Temas:
Sporadic groups (Mathematics)
Sylow subgroups.
Groupes sporadiques (Mathématiques)
Sous-groupes de Sylow.
Sylow subgroups
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Table of Contents
  • 1. Introduction
  • 2. Preliminary lemmas
  • 3. A generation lemma
  • 4. A lemma on the representations of SL[sub(2)](q)
  • 5. Certain subgroups of symplectic groups
  • 6. Groups generated by transvections
  • 7. Some subgroups of alternating groups
  • 8. Large p-subgroups of finite groups
  • 9. Centralizers of semisimple elements in groups of Lie type
  • 10. Centralizers of unipotent elements in groups of Lie type
  • 11. 3-structure in Sz and Ly
  • 12. 2-structure in certain sporadic groups
  • 13. 3-structure in J[sub(3)]
  • 14. 3-structure in F[sub(3)]15. Some subgroups of the Monster
  • 16. Some groups with abelian Sylow groups
  • 17. Groups of GF(p)-type
  • 18. Almost simple groups of GF(p)-type
  • 19. Random lemmas on groups of GF(p)-type
  • 20. The proof of Theorem B
  • 21. Large extraspecial subgroups of width 1
  • 22. Large extraspecial 5-subgroups of width 1
  • 23. Nonlocal overgroups of large symplectic subgroups
  • 24. Small Sylow 3-groups
  • 25. Overgroups of elementary abelian p-groups
  • 26. Small overgroups of large symplectic p-subgroups
  • 27. Geometries
  • 28. Parabolics29. Overgroups of Sylow p-groups in groups of GF(p)-type
  • 30. Overgroups of large symplectic 2-subgroups
  • 31. The Todd module
  • 32. Geometries for [sup(2)]E[sub(6)](2) and M(22)
  • 33. A 112-dimensional module GF(2) J[sub(4)]-module
  • References

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