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Overgroups of Sylow Subgroups in Sporadic Groups
 
Overgroups of Sylow Subgroups in Sporadic Groups
eBook ISBN:  978-1-4704-0759-9
Product Code:  MEMO/60/343.E
List Price: $34.00
MAA Member Price: $30.60
AMS Member Price: $20.40
Overgroups of Sylow Subgroups in Sporadic Groups
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Overgroups of Sylow Subgroups in Sporadic Groups
eBook ISBN:  978-1-4704-0759-9
Product Code:  MEMO/60/343.E
List Price: $34.00
MAA Member Price: $30.60
AMS Member Price: $20.40
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 601986; 235 pp
    MSC: Primary 20
  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Preliminary lemmas
    • 3. A generation lemma
    • 4. A lemma on the representations of $\textrm {SL}_2(q)$
    • 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 $J_3$
    • 14. 3-structure in $F_3$
    • 15. Some subgroups of the Monster
    • 16. Some groups with abelian Sylow groups
    • 17. Groups of $\textrm {GF}(p)$-type
    • 18. Almost simple groups of $\textrm {GF}(p)$-type
    • 19. Random lemmas on groups of $\textrm {GF}(p)$-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. Parabolics
    • 29. Overgroups of Sylow $p$-groups in groups of $\textrm {GF}(p)$-type
    • 30. Overgroups of large symplectic 2-subgroups
    • 31. The Todd module
    • 32. Geometries for $^2E_6(2)$ and $M(22)$
    • 33. A 112-dimensional module $\textrm {GF}(2)J_4$-module
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 601986; 235 pp
MSC: Primary 20
  • Chapters
  • 1. Introduction
  • 2. Preliminary lemmas
  • 3. A generation lemma
  • 4. A lemma on the representations of $\textrm {SL}_2(q)$
  • 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 $J_3$
  • 14. 3-structure in $F_3$
  • 15. Some subgroups of the Monster
  • 16. Some groups with abelian Sylow groups
  • 17. Groups of $\textrm {GF}(p)$-type
  • 18. Almost simple groups of $\textrm {GF}(p)$-type
  • 19. Random lemmas on groups of $\textrm {GF}(p)$-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. Parabolics
  • 29. Overgroups of Sylow $p$-groups in groups of $\textrm {GF}(p)$-type
  • 30. Overgroups of large symplectic 2-subgroups
  • 31. The Todd module
  • 32. Geometries for $^2E_6(2)$ and $M(22)$
  • 33. A 112-dimensional module $\textrm {GF}(2)J_4$-module
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.