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arXiv:2207.09722 [math.GR]AbstractReferencesReviewsResources

Prime ideals of the Burnside ring of a saturated fusion system

Nicolas Lemoine

Published 2022-07-20Version 1

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.

Categories: math.GR, math.RA
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