000 02481nam a22003618i 4500
001 CR9780511623592
003 UkCbUP
005 20200124160211.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090916s1986||||enk o ||1 0|eng|d
020 _a9780511623592 (ebook)
020 _z9780521306607 (hardback)
020 _z9780521449267 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 4 _aQA174.2
_b.A545 1986
082 0 0 _a512/.2
_219
100 1 _aAlperin, J. L.,
_eauthor.
245 1 0 _aLocal representation theory :
_bmodular representations as an introduction to the local representation theory of finite groups /
_cJ.L. Alperin.
264 1 _aCambridge :
_bCambridge University Press,
_c1986.
300 _a1 online resource (x, 178 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge studies in advanced mathematics ;
_v11
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThe aim of this text is to present some of the key results in the representation theory of finite groups. In order to keep the account reasonably elementary, so that it can be used for graduate-level courses, Professor Alperin has concentrated on local representation theory, emphasising module theory throughout. In this way many deep results can be obtained rather quickly. After two introductory chapters, the basic results of Green are proved, which in turn lead in due course to Brauer's First Main Theorem. A proof of the module form of Brauer's Second Main Theorem is then presented, followed by a discussion of Feit's work connecting maps and the Green correspondence. The work concludes with a treatment, new in part, of the Brauer-Dade theory. As a text, this book contains ample material for a one semester course. Exercises are provided at the end of most sections; the results of some are used later in the text. Representation theory is applied in number theory, combinatorics and in many areas of algebra. This book will serve as an excellent introduction to those interested in the subject itself or its applications.
650 0 _aFinite groups.
650 0 _aModular representations of groups.
776 0 8 _iPrint version:
_z9780521306607
830 0 _aCambridge studies in advanced mathematics ;
_v11.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511623592
999 _c515848
_d515846