Connective Im(J)–theory for cyclic groups

Knapp, Karlheinz

doi:10.2140/agt.2007.7.797

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

Karlheinz Knapp

Algebraic & Geometric Topology 7 (2007) 797–828

DOI: 10.2140/agt.2007.7.797

Abstract

We study connective $Im (J)$ –theory for the classifying space $B ℤ ∕ p^{a}$ 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

Volume 7, issue 2 (2007)