# The ideals of the slice Burnside p-biset functor

@article{Tounkara2018TheIO, title={The ideals of the slice Burnside p-biset functor}, author={Ibrahima Tounkara}, journal={Journal of Algebra}, year={2018}, volume={495}, pages={81-113} }

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 Ξ . It turns out that they are the subfunctors F of K Ξ such that for any finite group G , the evaluation F ( G ) is an ideal of the algebra K Ξ ( G ) . This allows for a determination of the full lattice of ideals of the slice Burnside p -biset functor K Ξ p .

## 5 Citations

Relative B-groups

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- 2019

This paper extends the notion of B-group to a relative context. For a finite group K and a field F of characteristic 0, the lattice of ideals of the Green biset functor FB K obtained by shifting the…

On the T∘-slices of a finite group

- Mathematics
- 2018

Abstract A slice ( G , S ) of finite groups is a pair consisting of a finite group G and a subgroup S of G. In this paper, we show that some properties of finite groups extend to slices of finite…

The center of a Green biset functor

- MathematicsPacific Journal of Mathematics
- 2019

For a Green biset functor $A$, we define the commutant and the center of $A$ and we study some of their properties and their relationship. This leads in particular to the main application of these…

Diagonal p-permutation functors

- MathematicsJournal of Algebra
- 2020

Let $k$ be an algebraically closed field of positive characteristic $p$, and $\mathbb{F}$ be an algebraically closed field of characteristic 0. We consider the $\mathbb{F}$-linear category…

Simple Section Biset Functors

- Mathematics
- 2021

We classify simple modules over the Green biset functor of section Burnside rings.

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