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  • xburnside_rev2

    Rights statement: 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

    Accepted author manuscript, 354 KB, PDF document

    Embargo ends: 10/01/24

    Available under license: CC BY-NC-ND: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License

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On the (crossed) Burnside ring of profinite groups

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published
<mark>Journal publication date</mark>1/04/2023
<mark>Journal</mark>Journal of Algebra
Volume619
Number of pages23
Pages (from-to)799-821
Publication StatusPublished
Early online date10/01/23
<mark>Original language</mark>English

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.

Bibliographic note

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