000 | 03178nam a22004935i 4500 | ||
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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 |
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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. |
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300 |
_aX, 306 p. 4 illus. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1990 |
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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 |