Hopf-Galois structures of isomorphic-type on a non-abelian characteristically simple extension

Tsang, Cindy

doi:10.1090/proc/14627

Hopf-Galois structures of isomorphic-type on a non-abelian characteristically simple extension
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by Cindy (Sin Yi) Tsang PDF

Proc. Amer. Math. Soc. 147 (2019), 5093-5103 Request permission

Abstract:

Let $L/K$ be a finite Galois extension whose Galois group $G$ is non-abelian and characteristically simple. By drawing tools from graph theory and group theory, we shall give a closed formula for the total number of Hopf-Galois structures on $L/K$ with associated group isomorphic to $G$.

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