03218nam 2200577 450 991081908780332120170918221518.01-4704-0759-0(CKB)3360000000464526(EBL)3113830(SSID)ssj0000889137(PQKBManifestationID)11478607(PQKBTitleCode)TC0000889137(PQKBWorkID)10867760(PQKB)10468372(MiAaPQ)EBC3113830(RPAM)3822609(PPN)195412257(EXLCZ)99336000000046452620140904h19861986 uy 0engur|n|---|||||txtccrOvergroups of sylow subgroups in sporadic groups /Michael AschbacherProvidence, Rhode Island :American Mathematical Society,1986.©19861 online resource (242 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 60, Number 343Description based upon print version of record.0-8218-2344-2 0-8218-4053-3 Includes bibliographical references.""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. Parabolics""""29. 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""Memoirs of the American Mathematical Society ;Volume 60, Number 343.Sporadic groups (Mathematics)Sylow subgroupsSporadic groups (Mathematics)Sylow subgroups.510 sAschbacher Michael1944-61453MiAaPQMiAaPQMiAaPQBOOK9910819087803321Overgroups of sylow subgroups in sporadic groups4108395UNINA