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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 |
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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 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 60; 1986; 235 ppMSC: Primary 20
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Table of Contents
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Chapters
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1. Introduction
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2. Preliminary lemmas
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3. A generation lemma
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4. A lemma on the representations of $\textrm {SL}_2(q)$
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5. Certain subgroups of symplectic groups
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6. Groups generated by transvections
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7. Some subgroups of alternating groups
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8. Large p-subgroups of finite groups
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9. Centralizers of semisimple elements in groups of Lie type
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10. Centralizers of unipotent elements in groups of Lie type
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11. 3-structure in Sz and Ly
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12. 2-structure in certain sporadic groups
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13. 3-structure in $J_3$
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14. 3-structure in $F_3$
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15. Some subgroups of the Monster
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16. Some groups with abelian Sylow groups
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17. Groups of $\textrm {GF}(p)$-type
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18. Almost simple groups of $\textrm {GF}(p)$-type
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19. Random lemmas on groups of $\textrm {GF}(p)$-type
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20. The proof of Theorem B
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21. Large extraspecial subgroups of width 1
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22. Large extraspecial 5-subgroups of width 1
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23. Nonlocal overgroups of large symplectic subgroups
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24. Small Sylow 3-groups
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25. Overgroups of elementary abelian $p$-groups
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26. Small overgroups of large symplectic $p$-subgroups
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27. Geometries
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28. Parabolics
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29. Overgroups of Sylow $p$-groups in groups of $\textrm {GF}(p)$-type
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30. Overgroups of large symplectic 2-subgroups
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31. The Todd module
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32. Geometries for $^2E_6(2)$ and $M(22)$
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33. A 112-dimensional module $\textrm {GF}(2)J_4$-module
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
-
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
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8. Large p-subgroups of finite groups
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9. Centralizers of semisimple elements in groups of Lie type
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10. Centralizers of unipotent elements in groups of Lie type
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11. 3-structure in Sz and Ly
-
12. 2-structure in certain sporadic groups
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13. 3-structure in $J_3$
-
14. 3-structure in $F_3$
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15. Some subgroups of the Monster
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16. Some groups with abelian Sylow groups
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17. Groups of $\textrm {GF}(p)$-type
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18. Almost simple groups of $\textrm {GF}(p)$-type
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19. Random lemmas on groups of $\textrm {GF}(p)$-type
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20. The proof of Theorem B
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21. Large extraspecial subgroups of width 1
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22. Large extraspecial 5-subgroups of width 1
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23. Nonlocal overgroups of large symplectic subgroups
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24. Small Sylow 3-groups
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25. Overgroups of elementary abelian $p$-groups
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26. Small overgroups of large symplectic $p$-subgroups
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27. Geometries
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28. Parabolics
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29. Overgroups of Sylow $p$-groups in groups of $\textrm {GF}(p)$-type
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30. Overgroups of large symplectic 2-subgroups
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31. The Todd module
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32. Geometries for $^2E_6(2)$ and $M(22)$
-
33. A 112-dimensional module $\textrm {GF}(2)J_4$-module
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