Hopf Galois structures on extensions of degree twice an odd prime square and their associated left braces

29 Sep 2020  ·  Crespo Teresa ·

We determine the Hopf Galois structures on a Galois field extension of degree twice an odd prime square and classify the corresponding left braces. Besides we determine the separable field extensions of degree twice an odd prime square allowing a cyclic Hopf Galois structure and the number of these structures.

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Group Theory Rings and Algebras