arXiv subjects
Publications and source records attributed to Ibrahima Tounkara.
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 groups. In particular, by analogy with B-groups, we introduce the notion of T$^\circ$-slice, and show that any slice of finite groups admits a largest quotient T$^\circ$-slice.
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.
This paper develops links between the Burnside ring of a finite group $G$ and the slice Burnside ring}. The goal is to gain a better understanding of ghost maps, idempotents, prime spectrum of these Burnside rings and connections between them.