03218cam  2200481 i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000340013305000220016708200150018908400570020410000390026124501190030024600430041926400710046230000400053333600260057333700280059933800270062749000640065450400510071850505680076950600500133753300950138753800360148258800470151865000260156565000310159165000960162265001180171865000870183665001130192365001650203665001350220165001630233677601470249985600430264685600470268920161962RPAM20201007135440.0a      b    001 0 cr/|||||||||||201007s2018    riu     ob    001 0 eng    a9781470446826 (online)  aDLCbengcDLCerdadDLCdRPAM00aQA177b.S645 201800a512/.2223  a20-02a20D05a20Bxxa20Cxxa20Exxa20Gxxa20Jxx2msc1 aSmith, Stephen D.,d1948-eauthor.10aApplying the classification of finite simple groups :h[electronic resource] ba user's guide /cStephen D. Smith.30aClassification of finite simple groups 1aProvidence, Rhode Island :bAmerican Mathematical Society,c[2018]  a1 online resource (xiii, 231 pages)  atextbtxt2rdacontent  aunmediatedbn2rdamedia  avolumebnc2rdacarrier0 aMathematical Surveys and Monographs, x2331-7159 ; vv. 230  aIncludes bibliographical references and index.00tBackground: Simple groups and their propertiestOutline of the proof of the CFSG: Some main ideastThompson factorization -- and its failure: FF-methodstRecognition theorms for simple groupstRepresentation theory of simple groupstMaximal subgroups and primitive representationstGeometries for simple groupstSome fusion techniques for classification problemstSome applications close to finite group theorytSome applications farther afield from finite groupstAppendix A. Some supplementary notes to the texttAppendix B. Further remarks on certain exercises1 aAccess is restricted to licensed institutions  aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2018  aMode of access : World Wide Web  aDescription based on print version record. 0aFinite simple groups. 0aRepresentations of groups. 7aGroup theory and generalizations -- Research exposition (monographs, survey articles).2msc 7aGroup theory and generalizations -- Abstract finite groups -- Finite simple groups and their classification.2msc 7aGroup theory and generalizations -- Permutation groups -- Permutation groups.2msc 7aGroup theory and generalizations -- Representation theory of groups -- Representation theory of groups.2msc 7aGroup theory and generalizations -- Structure and classification of infinite or finite groups -- Structure and classification of infinite or finite groups.2msc 7aGroup theory and generalizations -- Linear algebraic groups and related topics -- Linear algebraic groups and related topics.2msc 7aGroup theory and generalizations -- Connections with homological algebra and category theory -- Connections with homological algebra and category theory.2msc0 iPrint version: aSmith, Stephen D., 1948-tApplying the classification of finite simple groups :w(DLC)   2017044767x0076-5376z97814704429104 3Contentsuhttps://www.ams.org/surv/2304 3Contentsuhttps://doi.org/10.1090/surv/230