{ "id": "2205.15788", "version": "v1", "published": "2022-05-31T13:43:33.000Z", "updated": "2022-05-31T13:43:33.000Z", "title": "On the (crossed) Burnside ring of profinite groups", "authors": [ "Nadia Mazza" ], "categories": [ "math.GR" ], "abstract": "In this paper we investigate some properties of the Burnside 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.", "revisions": [ { "version": "v1", "updated": "2022-05-31T13:43:33.000Z" } ], "analyses": { "subjects": [ "19A22", "20E18", "20F24" ], "keywords": [ "profinite group", "burnside ring", "profinite fc-group", "independent interest" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }