02264nam a22003858a 4500001001600000003000700016005001700023006001900040007001500059008004100074020002600115020003000141040002400171050002200195082001500217100002500232245006900257260005200326264005200378300005900430336002600489337002600515338003600541490006300577500007300640520090200713650002001615650003001635650002301665700003001688776003501718786001401753830006401767856004701831CR9780511525971UkCbUP20160624102257.0m|||||o||d||||||||cr||||||||||||090406s1993||||enk s ||1 0|eng|d a9780511525971 (ebook) z9780521397391 (paperback) aUkCbUPcUkCbUPerda00aQA177 b.M36 199300a512/.22201 aManz, Olaf,eauthor.10aRepresentations of Solvable Groups /cOlaf Manz, Thomas R. Wolf. 1aCambridge :bCambridge University Press,c1993. 1aCambridge :bCambridge University Press,c1993. a1 online resource (316 pages) :bdigital, PDF file(s). atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier0 aLondon Mathematical Society Lecture Note Series ;vno. 185 aTitle from publisher's bibliographic system (viewed on 16 Oct 2015). aRepresentation theory plays an important role in algebra, and in this book Manz and Wolf concentrate on that part of the theory which relates to solvable groups. The authors begin by studying modules over finite fields, which arise naturally as chief factors of solvable groups. The information obtained can then be applied to infinite modules, and in particular to character theory (ordinary and Brauer) of solvable groups. The authors include proofs of Brauer's height zero conjecture and the Alperin-McKay conjecture for solvable groups. Gluck's permutation lemma and Huppert's classification of solvable two-transive permutation groups, which are essentially results about finite modules of finite groups, play important roles in the applications and a new proof is given of the latter. Researchers into group theory, representation theory, or both, will find that this book has much to offer. 0aSolvable groups 0aRepresentations of groups 0aPermutation groups1 aWolf, Thomas R.,eauthor.08iPrint version: z9780521397391 dCambridge 0aLondon Mathematical Society Lecture Note Series ;vno. 185.40uhttp://dx.doi.org/10.1017/CBO9780511525971