Non-abelian simple groups which occur as the type of a Hopf-Galois structure on a solvable extension

Cindy Tsang

doi:10.1112/blms.12860

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arXiv · 2210.14689

Non-abelian simple groups which occur as the type of a Hopf-Galois structure on a solvable extension

Cindy Tsang

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Abstract

We determine the finite non-abelian simple groups which occur as the type of a Hopf-Galois structure on a solvable extension. In the language of skew braces, our result gives a complete list of finite non-abelian simple groups which occur as the additive group of a skew brace with solvable multiplicative group.

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Cindy Tsang. 2022-10-26. Non-abelian simple groups which occur as the type of a Hopf-Galois structure on a solvable extension. https://doi.org/10.1112/blms.12860

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