03423nam 22006255 450 991034933900332120230706141513.03-030-21792-210.1007/978-3-030-21792-1(CKB)4100000009160332(DE-He213)978-3-030-21792-1(MiAaPQ)EBC5919810(PPN)251084507(EXLCZ)99410000000916033220190830d2019 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierRepresentation Theory of Finite Groups: a Guidebook /by David A. Craven1st ed. 2019.Cham :Springer International Publishing :Imprint: Springer,2019.1 online resource (VIII, 294 p. 49 illus.)Universitext,0172-59393-030-21791-4 Includes bibliographical references and index.1 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.This 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.Universitext,0172-5939Group theoryAssociative ringsRings (Algebra)Categories (Mathematics)Algebra, HomologicalGroup Theory and Generalizationshttps://scigraph.springernature.com/ontologies/product-market-codes/M11078Associative Rings and Algebrashttps://scigraph.springernature.com/ontologies/product-market-codes/M11027Category Theory, Homological Algebrahttps://scigraph.springernature.com/ontologies/product-market-codes/M11035Group theory.Associative rings.Rings (Algebra)Categories (Mathematics)Algebra, Homological.Group Theory and Generalizations.Associative Rings and Algebras.Category Theory, Homological Algebra.512.2Craven David Aauthttp://id.loc.gov/vocabulary/relators/aut511976MiAaPQMiAaPQMiAaPQBOOK9910349339003321Representation Theory of Finite Groups: a Guidebook2566090UNINA