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arXiv · 2205.15788

On the (crossed) Burnside ring of profinite groups

Nadia Mazza
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Abstract

In this paper we investigate some properties of the Burnside ring of a profinite group as defined in \cite{ds}. We introduce the notion of the crossed Burnside ring of a profinite FC-group, and generalise some results from finite to profinite (FC-)groups. In our investigations, we also obtain results on profinite FC-groups which may be of independent interest.

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Nadia Mazza. 2022-05-31. On the (crossed) Burnside ring of profinite groups. https://arxiv.org/abs/2205.15788

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