000 02202nam a22003618i 4500
001 CR9781108349307
003 UkCbUP
005 20200623173944.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 170731s2018||||enk o ||1 0|eng|d
020 _a9781108349307 (ebook)
020 _z9781108425902 (hardback)
020 _z9781108441803 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 4 _aQA174.2
_b.L56 2018
082 0 4 _a512.2
_223
100 1 _aLinckelmann, Markus,
_eauthor.
245 1 4 _aThe block theory of finite group algebras.
_nVolume II /
_cMarkus Linckelmann.
264 1 _aCambridge :
_bCambridge University Press,
_c2018.
300 _a1 online resource (xi, 510 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society student texts ;
_v92
500 _aTitle from publisher's bibliographic system (viewed on 16 May 2018).
520 _aThis is a comprehensive introduction to the modular representation theory of finite groups, with an emphasis on block theory. The two volumes take into account classical results and concepts as well as some of the modern developments in the area. Volume 1 introduces the broader context, starting with general properties of finite group algebras over commutative rings, moving on to some basics in character theory and the structure theory of algebras over complete discrete valuation rings. In Volume 2, blocks of finite group algebras over complete p-local rings take centre stage, and many key results which have not appeared in a book before are treated in detail. In order to illustrate the wide range of techniques in block theory, the book concludes with chapters classifying the source algebras of blocks with cyclic and Klein four defect groups, and relating these classifications to the open conjectures that drive block theory.
650 0 _aGroup algebras.
650 0 _aFinite groups.
776 0 8 _iPrint version:
_z9781108425902
830 0 _aLondon Mathematical Society student texts ;
_v92.
856 4 0 _uhttps://doi.org/10.1017/9781108349307
999 _c521052
_d520987