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Homologie stable des groupes à coefficients polynomiaux

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Part of the Progress in Mathematics book series (PM, volume 311)

Abstract

This series of lectures deals with stable homology of (discrete) groups with coefficients twisted by a suitable functor. By stable homology we mean the colimit of the homology of a nice sequence of groups, such as the symmetric groups or as the general linear groups over a fixed ring. The lectures’ aim is to express stable homology with twisted coefficients using stable homology with untwisted coefficients and functor homology.

Keywords

Group homology functor categories polynomial functors cross effects hermitian spaces derived Kan extension 

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Faculté des SciencesCNRS, Laboratoire de mathématiques Jean Leray (UMR 6629)Nantes cedex 3France

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