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On the Galois correspondence for Hopf Galois structures arising from finite radical algebras and Zappa-Szép products

2021
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Publicacions matemàtiques
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Let L/K be a G-Galois extension of fields with an H-Hopf Galois structure of type N . We study the Galois correspondence ratio GC(G, N ), which is the proportion of intermediate fields E with K ⊆ E ⊆ L that are in the image of the Galois correspondence for the H-Hopf Galois structure on L/K. The Galois correspondence ratio for a Hopf Galois structure can be found by translating the problem into counting certain subgroups of the corresponding skew brace. We look at skew braces arising from

doi:10.5565/publmat6512105
fatcat:eoz7aefngnfm5omentyx4vw2re