Prime ideals of the Burnside ring of a saturated fusion system
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Publication:6405516
DOI10.1016/J.JALGEBRA.2022.06.031arXiv2207.09722MaRDI QIDQ6405516
Publication date: 20 July 2022
Abstract: In a 1969 article, A. Dress described the prime ideals of the Burnside ring of a finite group G and the inclusion relations between them. One may ask whether similar results exist for the Burnside ring of a saturated fusion system F on a finite p-group S. The present paper answers positively, providing a typology for the prime ideals of A(F) and for those of A(F) (p) as a consequence.
Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Frobenius induction, Burnside and representation rings (19A22) Category of groups (20J15)
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