1 results
Conditions for the supersolvability of
$\mathcal{F}_{S}(G)$
- Part of
-
- Journal:
- Proceedings of the Edinburgh Mathematical Society , First View
- Published online by Cambridge University Press:
- 23 January 2025, pp. 1-7
-
- Article
- Export citation
-
In this article,
$\mathcal{F}_{S}(G)$ denotes the fusion category of G on a Sylow p-subgroup S of G where p denotes a prime. A subgroup K of G has normal complement in G if there is a normal subgroup T of G satisfying that G = KT and 
$T \cap K = 1$. We investigate the supersolvability of 
$\mathcal{F}_{S}(G)$ under the assumption that some subgroups of S are normal in G or have normal complement in G.
