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010   $a3-030-21792-2
024 7 $a10.1007/978-3-030-21792-1
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035   $a(DE-He213)978-3-030-21792-1
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035   $a(PPN)251084507
035   $a(EXLCZ)994100000009160332
100   $a20190830d2019      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aRepresentation Theory of Finite Groups: a Guidebook /$fby David A. Craven
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (VIII, 294 p. 49 illus.)
225 1 $aUniversitext,$x0172-5939
311   $a3-030-21791-4 
320   $aIncludes bibliographical references and index.
327   $a1 The Basics -- 2 Blocks and Their Characters -- 3 Modules -- 4 The Local-Global Principle -- 5 Blocks with Cyclic Defect Groups -- 6 Blocks with Non-Cyclic Defect Groups -- 7 Clifford Theory -- 8 Representation of Symmetric Groups -- 9 Representations of Groups of Lie Type -- References -- Index.
330   $aThis book provides an accessible introduction to the state of the art of representation theory of finite groups. Starting from a basic level that is summarized at the start, the book proceeds to cover topics of current research interest, including open problems and conjectures. The central themes of the book are block theory and module theory of group representations, which are comprehensively surveyed with a full bibliography. The individual chapters cover a range of topics within the subject, from blocks with cyclic defect groups to representations of symmetric groups. Assuming only modest background knowledge at the level of a first graduate course in algebra, this guidebook, intended for students taking first steps in the field, will also provide a reference for more experienced researchers. Although no proofs are included, end-of-chapter exercises make it suitable for student seminars.
410  0$aUniversitext,$x0172-5939
606   $aGroup theory
606   $aAssociative rings
606   $aRings (Algebra)
606   $aCategory theory (Mathematics)
606   $aHomological algebra
606   $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078
606   $aAssociative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11027
606   $aCategory Theory, Homological Algebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11035
615  0$aGroup theory.
615  0$aAssociative rings.
615  0$aRings (Algebra).
615  0$aCategory theory (Mathematics).
615  0$aHomological algebra.
615 14$aGroup Theory and Generalizations.
615 24$aAssociative Rings and Algebras.
615 24$aCategory Theory, Homological Algebra.
676   $a512.2
700   $aCraven$b David A$4aut$4http://id.loc.gov/vocabulary/relators/aut$0511976
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910349339003321
996   $aRepresentation Theory of Finite Groups: a Guidebook$92566090
997   $aUNINA