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

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Abstract We determine the Hopf Galois structures on a Galois field extension of degree twice an odd prime square and classify the corresponding skew left braces. Besides we determine the… Click to show full abstract

Abstract We determine the Hopf Galois structures on a Galois field extension of degree twice an odd prime square and classify the corresponding skew 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.

Keywords: degree twice; twice odd; field; odd prime; hopf galois; prime square

Journal Title: Journal of Algebra
Year Published: 2020

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