The ideals of the slice Burnside p-biset functor
arXiv:2109.12593
Abstract
Let G be a finite group and K be a field of characteristic zero. Our purpose is to investigate the ideals of the slice Burnside functor KΞ. It turns out that they are the subfunctors F of KΞ such that for any finite group G, the evaluation F(G) is an ideal of the algebra KΞ(G). This allows for a determination of the full lattice of ideals of the slice Burnside p-biset functor KΞp.