For a Galois extension whose Galois group is a semidirect product, the Hopf-Galois structures realizing the two intermediate fixed fields are classified by admissible group homomorphisms satisfying two equations.
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On some semidirect products of skew braces arising in Hopf-Galois theory
For a Galois extension whose Galois group is a semidirect product, the Hopf-Galois structures realizing the two intermediate fixed fields are classified by admissible group homomorphisms satisfying two equations.