#### 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 $Im\left(J\right)$–theory for the classifying space $Bℤ∕{p}^{a}$ of a finite cyclic $p$–group and compute the $Im\left(J\right)$–cohomology groups completely. We also compute the $Im\left(J\right)$–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