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

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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.

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:

/dk/atira/pure/subjectarea/asjc/2600/2602

Subjects:

?? (crossed) burnside ringprofinite groupsfc-groupsmackey functorsalgebra and number theory ??

Departments:

Faculty of Science and Technology > Mathematics and Statistics

ID Code:

182348

Deposited By:

ep_importer_pure

Deposited On:

05 Jan 2023 15:45

Refereed?:

Yes

Published?:

Published

Last Modified:

26 Apr 2025 00:11

URI:

https://eprints.lancs.ac.uk/id/eprint/182348