000 03178nam a22004935i 4500
001 978-3-642-11297-3
003 DE-He213
005 20190213151047.0
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
072 7 _aPBG
_2thema
082 0 4 _a512.2
_223
100 1 _aBouc, Serge.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aBiset Functors for Finite Groups
_h[electronic resource] /
_cby Serge Bouc.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2010.
300 _aX, 306 p. 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 _aGroup theory.
650 0 _aAlgebraic topology.
650 0 _aK-theory.
650 1 4 _aGroup Theory and Generalizations.
_0http://scigraph.springernature.com/things/product-market-codes/M11078
650 2 4 _aAlgebraic Topology.
_0http://scigraph.springernature.com/things/product-market-codes/M28019
650 2 4 _aK-Theory.
_0http://scigraph.springernature.com/things/product-market-codes/M11086
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642113147
776 0 8 _iPrinted edition:
_z9783642112966
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1990
856 4 0 _uhttps://doi.org/10.1007/978-3-642-11297-3
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c9373
_d9373