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arXiv · 1705.09131

On discrete homology of a free pro-$p$-group

Sergei O. Ivanov·Roman Mikhailov
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Abstract

For a prime $p$, let $\hat F_p$ be a finitely generated free pro-$p$-group of rank $\geq 2$. We show that the second discrete homology group $H_2(\hat F_p,\mathbb Z/p)$ is an uncountable $\mathbb Z/p$-vector space. This answers a problem of A.K. Bousfield.

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Sergei O. Ivanov, Roman Mikhailov. 2017-05-25. On discrete homology of a free pro-$p$-group. https://doi.org/10.1112/s0010437x1800739x

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