2 papers
math.GR2023
Partial groups, pregroups and realisability of fusion systems
Nicolas Lemoine, Rémi Molinier
In this article, we compare two different notions of partially defined group strutures, namely partial groups and pregroups, as introduced by Chermak and Stallings respectively. In…
math.GR2022
Prime ideals of the Burnside ring of a saturated fusion system
Nicolas Lemoine
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…