000			02833nam a22004695i 4500
001			978-3-642-11297-3
003			DE-He213
005			20140220084530.0
007			cr nn 008mamaa
008			100316s2010 gw | s |||| 0|eng d
020			_a9783642112973 _9978-3-642-11297-3
024	7		_a10.1007/978-3-642-11297-3 _2doi
050		4	_aQA174-183
072		7	_aPBG _2bicssc
072		7	_aMAT002010 _2bisacsh
082	0	4	_a512.2 _223
100	1		_aBouc, Serge. _eauthor.
245	1	0	_aBiset Functors for Finite Groups _h[electronic resource] / _cby Serge Bouc.
264		1	_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2010.
300			_aX, 302p. 4 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aLecture Notes in Mathematics, _x0075-8434 ; _v1990
505	0		_aExamples -- General properties -- -Sets and (, )-Bisets -- Biset Functors -- Simple Functors -- Biset functors on replete subcategories -- The Burnside Functor -- Endomorphism Algebras -- The Functor -- Tensor Product and Internal Hom -- p-biset functors -- Rational Representations of -Groups -- -Biset Functors -- Applications -- The Dade Group.
520			_aThis volume exposes the theory of biset functors for finite groups, which yields a unified framework for operations of induction, restriction, inflation, deflation and transport by isomorphism. The first part recalls the basics on biset categories and biset functors. The second part is concerned with the Burnside functor and the functor of complex characters, together with semisimplicity issues and an overview of Green biset functors. The last part is devoted to biset functors defined over p-groups for a fixed prime number p. This includes the structure of the functor of rational representations and rational p-biset functors. The last two chapters expose three applications of biset functors to long-standing open problems, in particular the structure of the Dade group of an arbitrary finite p-group.This book is intended both to students and researchers, as it gives a didactic exposition of the basics and a rewriting of advanced results in the area, with some new ideas and proofs.
650		0	_aMathematics.
650		0	_aGroup theory.
650		0	_aK-theory.
650	1	4	_aMathematics.
650	2	4	_aGroup Theory and Generalizations.
650	2	4	_aK-Theory.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9783642112966
830		0	_aLecture Notes in Mathematics, _x0075-8434 ; _v1990
856	4	0	_uhttp://dx.doi.org/10.1007/978-3-642-11297-3
912			_aZDB-2-SMA
912			_aZDB-2-LNM
999			_c111826 _d111826