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2021-01

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/190525

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 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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https://doi.org/10.1016/j.jalgebra.2020.09.005

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Àlgebres de Hopf, Teoria de Galois

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Hopf algebras, Galois theory

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Articles publicats en revistes (Matemàtiques i Informàtica)

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CRESPO VICENTE, Teresa. Hopf Galois structures on field extensions of degree twice an odd prime square and their associated skew left braces. Journal of Algebra. 2021. Vol. 565, num. 282-308. ISSN 0021-8693. [consulted: 5 of October of 2026]. Available at: https://hdl.handle.net/2445/190525

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