The ideals of the slice Burnside p-biset functor
Group Theory
2021-09-28 v1
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 K{\Xi}. It turns out that they are the subfunctors F of K{\Xi} such that for any finite group G, the evaluation F(G) is an ideal of the algebra K{\Xi}(G). This allows for a determination of the full lattice of ideals of the slice Burnside p-biset functor K{\Xi}p.
Cite
@article{arxiv.2109.12593,
title = {The ideals of the slice Burnside p-biset functor},
author = {Ibrahima Tounkara},
journal= {arXiv preprint arXiv:2109.12593},
year = {2021}
}