On the connective K-homology groups of the classifying spaces \(B{\mathbb{Z}}/p^ r\) (Q790480)
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scientific article; zbMATH DE number 3848217
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the connective K-homology groups of the classifying spaces \(B{\mathbb{Z}}/p^ r\) |
scientific article; zbMATH DE number 3848217 |
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On the connective K-homology groups of the classifying spaces \(B{\mathbb{Z}}/p^ r\) (English)
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1983
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In this paper the author calculates the additive structure of \(k_*(B{\mathbb{Z}}/p^ r)\), the connective K-homology of the classifying space of the group \({\mathbb{Z}}/p^ r\). It turns out that \(\tilde k_{2n- 1}(B{\mathbb{Z}}/p^ r)\) is a finite group and \(\tilde k_{2n}(B{\mathbb{Z}}/p^ r)=0\). The structure of \(\tilde k_{2n-1}(B{\mathbb{Z}}/p^ r)\) is explicitly described. The result is too complicated to be stated here.
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connective K-homology
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classifying space
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Z mod \(p^ r\)
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