Prime ideals of the Burnside ring of a saturated fusion system
Group Theory
2022-07-21 v1 Rings and Algebras
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.
Cite
@article{arxiv.2207.09722,
title = {Prime ideals of the Burnside ring of a saturated fusion system},
author = {Nicolas Lemoine},
journal= {arXiv preprint arXiv:2207.09722},
year = {2022}
}