The authors completely determine the existence of cyclic-type Hopf-Galois structures on all parallel extensions of prime-power degree using Greither-Pareigis and Byott theory.
Darlington,Hopf–Galois structures on parallel extensions, J
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Hopf--Galois structures of cyclic type on parallel extensions of prime power degree
The authors completely determine the existence of cyclic-type Hopf-Galois structures on all parallel extensions of prime-power degree using Greither-Pareigis and Byott theory.