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    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

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On the (crossed) Burnside ring of profinite groups

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

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On the (crossed) Burnside ring of profinite groups. / Mazza, Nadia.
In: Journal of Algebra, Vol. 619, 01.04.2023, p. 799-821.

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

Harvard

Mazza, N 2023, 'On the (crossed) Burnside ring of profinite groups', Journal of Algebra, vol. 619, pp. 799-821. https://doi.org/10.1016/j.jalgebra.2022.12.027

APA

Mazza, N. (2023). On the (crossed) Burnside ring of profinite groups. Journal of Algebra, 619, 799-821. https://doi.org/10.1016/j.jalgebra.2022.12.027

Vancouver

Mazza N. On the (crossed) Burnside ring of profinite groups. Journal of Algebra. 2023 Apr 1;619:799-821. Epub 2023 Jan 10. doi: 10.1016/j.jalgebra.2022.12.027

Author

Mazza, Nadia. / On the (crossed) Burnside ring of profinite groups. In: Journal of Algebra. 2023 ; Vol. 619. pp. 799-821.

Bibtex

@article{2627f5bf4cfd45b392ac2e2da85cdf9b,
title = "On the (crossed) Burnside ring of profinite groups",
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 = "(Crossed) Burnside ring, Profinite groups, FC-groups, Mackey functors",
author = "Nadia Mazza",
note = "This is the author{\textquoteright}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",
year = "2023",
month = apr,
day = "1",
doi = "10.1016/j.jalgebra.2022.12.027",
language = "English",
volume = "619",
pages = "799--821",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "ELSEVIER ACADEMIC PRESS INC",

}

RIS

TY - JOUR

T1 - On the (crossed) Burnside ring of profinite groups

AU - Mazza, Nadia

N1 - 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

PY - 2023/4/1

Y1 - 2023/4/1

N2 - 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.

AB - 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.

KW - (Crossed) Burnside ring

KW - Profinite groups

KW - FC-groups

KW - Mackey functors

U2 - 10.1016/j.jalgebra.2022.12.027

DO - 10.1016/j.jalgebra.2022.12.027

M3 - Journal article

VL - 619

SP - 799

EP - 821

JO - Journal of Algebra

JF - Journal of Algebra

SN - 0021-8693

ER -