LEADER 03679nam 2200565 450 001 996320723003316 005 20151005070603.0 035 $a(CKB)1000000000523286 035 $a(EBL)3112739 035 $a(SSID)ssj0001256419 035 $a(PQKBManifestationID)11723238 035 $a(PQKBTitleCode)TC0001256419 035 $a(PQKBWorkID)11273257 035 $a(PQKB)10817134 035 $a(MiAaPQ)EBC3112739 035 $a(RPAM)2541871 035 $a(PPN)193128772 035 $a(EXLCZ)991000000000523286 100 $a20140528h19961996 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 14$aThe classification of the finite simple groups$hNumber 2$hPart I, chapter G$iGeneral group theory /$fDaniel Gorenstein, Richard Lyons, Ronald Solomon 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1996] 210 4$dİ1996 215 $a1 online resource (234 p.) 225 1 $aMathematical surveys and monographs ;$vvolume 40, number 2 300 $aDescription based upon print version of record. 320 $aIncludes bibliographical references and index. 327 $a""Contents""; ""Preface""; ""Part I, Chapter G: General Group Theory""; ""A. Introduction""; ""1. Notation""; ""2. Some K-Group Conditions""; ""B. Semisimple Subgroups""; ""3. Components and the Generalized Fitting Subgroup""; ""5. L[sub(p')]-Balance and p*-Groups""; ""6. p-Terminally""; ""7. Semirigidity""; ""8. The Permutation Action of p-Groups on Components""; ""C. Nilpotent Groups and Their Extensions""; ""9. Modules, Representations, and Cohomology""; ""10. Small p-Groups""; ""11. Automorphisms of p-Groups and Coprime Action""; ""12. p-Constrained Groups"" 327 $a""13. Solvable Components and Solvable L-Balance""""14. Goldschmidt-O'Nan Modules""; ""D. Fusion and Normal Subgroups""; ""15. Abelian Normal Subgroups and Quotients""; ""16. Local Control of Fusion""; ""E. Uniqueness Subgroups""; ""17. Strongly p-Embedded Subgroups and Involutions""; ""18. Preuniqueness Subgroups and Standard Components""; ""F. The Analysis of Signalizers""; ""19. The Bender Method""; ""20. The Signalizer Functor Method: k-Balance""; ""21. The Signalizer Functor Method: Signalizer Functors""; ""22. The Signalizer Functor Method: Connectivity"" 327 $a""23. Signalizers, p-Constraint and Transitivity Theorems""""G. Subgroups of Parabolic Type""; ""24. The Klinger-Mason Method""; ""25. p-Stability and Quadratic Modules""; ""26. Thompson Factorization""; ""27. Near Components""; ""28. The Amalgam Method""; ""H. Some Recognition Issues""; ""29. Defining Amalgams""; ""30. Split BN-Pairs""; ""31. Extensions of Extra-special 2-Groups""; ""I. Characters and Counting""; ""32. Ordinary Character Theory""; ""33. Modular Character Theory""; ""34. Involutions and Counting Arguments""; ""Background References""; ""Expository References""; ""Glossary"" 327 $a""Index""""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""W""; ""Y""; ""Z"" 410 0$aMathematical surveys and monographs ;$vvolume 40, number 2. 517 1 $aClassification of the finite simple groups. 606 $aFinite simple groups 615 0$aFinite simple groups. 676 $a512/.2 700 $aGorenstein$b Daniel$042741 702 $aLyond$b Richard 702 $aSolomon$b Ronald 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996320723003316 996 $aClassification of the finite simple groups$9375328 997 $aUNISA