Volume 7, issue 2 (2007)

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Connective $\mathrm{Im}(J)$–theory for cyclic groups

Karlheinz Knapp

Algebraic & Geometric Topology 7 (2007) 797–828
Abstract

We study connective Im(J)–theory for the classifying space Bpa of a finite cyclic p–group and compute the Im(J)–cohomology groups completely. We also compute the Im(J)–homology groups, with the exception of a finite range of dimensions.

Keywords
$\mathrm{Im}(J)$–theory, cyclic groups
Mathematical Subject Classification 2000
Primary: 55N35, 19L64
Secondary: 19D99, 19L20
References
Publication
Received: 18 July 2006
Accepted: 20 March 2007
Published: 20 June 2007
Authors
Karlheinz Knapp
Bergische Universität Wuppertal
Fachbereich C, Mathematik
Gaußstraße 20
D-42097 Wuppertal
Germany