Abstract
We determine all Hopf–Galois structures on a Galois extension of fields of degree pq, where p, q are primes with p≡1 ( mod q) . There are 2 q−1, respectively 2+ p(2 q−3), Hopf–Galois structures when the extension is cyclic, respectively nonabelian. Explicit generators are given for the groups of permutations corresponding to these Hopf–Galois structures.
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