000			02209nam a22003738i 4500
001			CR9780511525971
003			UkCbUP
005			20200124160235.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090406s1993||||enk o ||1 0|eng|d
020			_a9780511525971 (ebook)
020			_z9780521397391 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA177 _b.M36 1993
082	0	0	_a512/.2 _220
100	1		_aManz, Olaf, _eauthor.
245	1	0	_aRepresentations of solvable groups / _cOlaf Manz and Thomas R. Wolf.
264		1	_aCambridge : _bCambridge University Press, _c1993.
300			_a1 online resource (xi, 302 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aLondon Mathematical Society lecture note series ; _v185
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520			_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.
650		0	_aSolvable groups.
650		0	_aRepresentations of groups.
650		0	_aPermutation groups.
700	1		_aWolf, Thomas R., _eauthor.
776	0	8	_iPrint version: _z9780521397391
830		0	_aLondon Mathematical Society lecture note series ; _v185.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511525971
999			_c517964 _d517962