Overgroups of Sylow subgroups in sporadic groups / [electronic resource] Michael Aschbacher.

"Volume 60."

Bibliography: p. 233-235.

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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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