Book Cover
E-book
Author Aschbacher, Michael, 1944- author.

Title Overgroups of sylow subgroups in sporadic groups / Michael Aschbacher
Published Providence, Rhode Island : American Mathematical Society, 1986
©1986

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Description 1 online resource (242 pages)
Series Memoirs of the American Mathematical Society, 0065-9266 ; Volume 60, Number 343
Memoirs of the American Mathematical Society ; Volume 60, no. 343.
Contents 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
Bibliography Includes bibliographical references
Notes English
Print version record
Subject Sporadic groups (Mathematics)
Sylow subgroups.
Sporadic groups (Mathematics)
Sylow subgroups
Form Electronic book
ISBN 9781470407599
1470407590