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1、MathematicalSurveysandMonographsVolume40.1TheClassificationoftheFiniteSimpleGroupsDanielGorensteinRichardLyonsRonaldSolomonAmericanMathematicalSocietyProvidence,RhodeIslandTheauthorsweresupportedinpartbyNSFgrant#DMS89-03124,byDIMACS,anNSFScienceandTechnologyCen
2、terfundedundercontractSTC-88-09648,andbyNSAgrant#MDA-904-91-H-0043.2000MathematicsSubjectClassification.Primary20D05,20E32.Abstract.Thisisthefirstmonographinaseriesdevotedtoarevisedproofoftheclassificationofthefinitesimplegroups.LibraryofCongressCataloging-in-Publi
3、cationDataGorenstein,Daniel.Theclassificationofthefinitesimplegroups/DanielGorenstein,RichardLyons,RonaldSolomon.p.cm.—(Mathematicalsurveysandmonographs,v.40,number1–)Includesbibliographicalreferencesandindex.ISBN0-8218-0334-41.Finitesimplegroups.I.Lyons,Richard,
4、1945–.II.Solomon,Ronald.III.Title.IV.Series:Mathematicalsurveysandmonographs;no.40,pt.1–.QA177.G671994512.2—dc2094-23001CIPCopyingandreprinting.Individualreadersofthispublication,andnonprofitlibrariesactingforthem,arepermittedtomakefairuseofthematerial,suchasto
5、copyachapterforuseinteachingorresearch.Permissionisgrantedtoquotebriefpassagesfromthispublicationinreviews,providedthecustomaryacknowledgmentofthesourceisgiven.Republication,systematiccopying,ormultiplereproductionofanymaterialinthispublicationispermittedonlyun
6、derlicensefromtheAmericanMathematicalSociety.RequestsforsuchpermissionshouldbeaddressedtotheAssistanttothePublisher,AmericanMathematicalSociety,P.O.Box6248,Providence,RhodeIsland02940-6248.Requestscanalsobemadebye-mailtoreprint-permission@ams.org.c1994bytheAme
7、ricanMathematicalSociety.Allrightsreserved.Reprintedwithcorrections,2000.TheAmericanMathematicalSocietyretainsallrightsexceptthosegrantedtotheUnitedStatesGovernment.PrintedintheUnitedStatesofAmerica.∞Thepaperusedinthisbookisacid-freeandfallswithintheguidelines
8、establishedtoensurepermanenceanddurability.VisittheAMShomepageatURL:http://www.ams.org/1098765432050403020100TothememoryofPearlSolomon(1918–1978)andMarvinLyons(1903–1975)Con
