English

On the (crossed) Burnside ring of profinite groups

Group Theory 2022-12-23 v2

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.

Keywords

Cite

@article{arxiv.2205.15788,
  title  = {On the (crossed) Burnside ring of profinite groups},
  author = {Nadia Mazza},
  journal= {arXiv preprint arXiv:2205.15788},
  year   = {2022}
}