On the (crossed) Burnside ring of profinite groups

Mazza, Nadia (2023) On the (crossed) Burnside ring of profinite groups. Journal of Algebra, 619. pp. 799-821. ISSN 0021-8693

[thumbnail of xburnside_rev2]
Text (xburnside_rev2)
xburnside_rev2.pdf - Accepted Version
Available under License Creative Commons Attribution-NonCommercial-NoDerivs.

Download (362kB)


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.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Algebra
Additional Information:
This is the author’s version of a work that was accepted for publication in Journal of Algebra. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Algebra, 619, 2023 DOI: 10.1016/j.jalgebra.2022.12.027
Uncontrolled Keywords:
?? (crossed) burnside ringprofinite groupsfc-groupsmackey functorsalgebra and number theory ??
ID Code:
Deposited By:
Deposited On:
05 Jan 2023 15:45
Last Modified:
16 May 2024 08:50