02372nam a22003858a 4500001001600000003000700016005001700023006001900040007001500059008004100074020002600115020003000141040002400171050002200195082001500217100003100232245006300263246004100326260005200367264005200419300005900471336002600530337002600556338003600582490006300618500007300681520100300754650001801757650002501775650002601800776003501826786001401861830006401875856004701939CR9780511526015UkCbUP20160624102258.0m|||||o||d||||||||cr||||||||||||090406s1998||||enk s ||1 0|eng|d a9780511526015 (ebook) z9780521595131 (paperback) aUkCbUPcUkCbUPerda00aQA177 b.N38 199800a512/.22211 aNavarro, Gabriel,eauthor.10aCharacters and Blocks of Finite Groups /cGabriel Navarro.3 aCharacters & Blocks of Finite Groups 1aCambridge :bCambridge University Press,c1998. 1aCambridge :bCambridge University Press,c1998. a1 online resource (300 pages) :bdigital, PDF file(s). atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier0 aLondon Mathematical Society Lecture Note Series ;vno. 250 aTitle from publisher's bibliographic system (viewed on 16 Oct 2015). aThis is a clear, accessible and up-to-date exposition of modular representation theory of finite groups from a character-theoretic viewpoint. After a short review of the necessary background material, the early chapters introduce Brauer characters and blocks and develop their basic properties. The next three chapters study and prove Brauer's first, second and third main theorems in turn. These results are then applied to prove a major application of finite groups, the Glauberman Z*-theorem. Later chapters examine Brauer characters in more detail. The relationship between blocks and normal subgroups is also explored and the modular characters and blocks in p-solvable groups are discussed. Finally, the character theory of groups with a Sylow p-subgroup of order p is studied. Each chapter concludes with a set of problems. The book is aimed at graduate students, with some previous knowledge of ordinary character theory, and researchers studying the representation theory of finite groups. 0aFinite groups 0aCharacters of groups 0aBlocks (Group theory)08iPrint version: z9780521595131 dCambridge 0aLondon Mathematical Society Lecture Note Series ;vno. 250.40uhttp://dx.doi.org/10.1017/CBO9780511526015