2 results
Conditions for the supersolvability of
$\mathcal{F}_{S}(G)$
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- Proceedings of the Edinburgh Mathematical Society , First View
- Published online by Cambridge University Press:
- 23 January 2025, pp. 1-7
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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.
Splitting fusion systems over 2-groups
- Part of
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- Journal:
- Proceedings of the Edinburgh Mathematical Society / Volume 56 / Issue 1 / February 2013
- Published online by Cambridge University Press:
- 05 December 2012, pp. 263-301
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