Algebraic & Geometric Topology

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

Karlheinz Knapp

Abstract

We study connective $Im(J)$–theory for the classifying space $Bℤ∕pa$ 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.

Article information

Source
Algebr. Geom. Topol., Volume 7, Number 2 (2007), 797-828.

Dates
Accepted: 20 March 2007
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.agt/1513796707

Digital Object Identifier
doi:10.2140/agt.2007.7.797

Mathematical Reviews number (MathSciNet)
MR2336242

Zentralblatt MATH identifier
1175.19005

Citation

Knapp, Karlheinz. Connective $\mathrm{Im}(J)$–theory for cyclic groups. Algebr. Geom. Topol. 7 (2007), no. 2, 797--828. doi:10.2140/agt.2007.7.797. https://projecteuclid.org/euclid.agt/1513796707

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