Hopf Galois structures on field extensions of degree twice an odd prime square and their associated skew left braces
نویسندگان
چکیده
We determine the Hopf Galois structures on a field extension of degree twice an odd prime square and classify corresponding skew left braces. Besides we separable extensions allowing cyclic structure number these structures.
منابع مشابه
Hopf Galois structures on Kummer extensions of prime power degree
Let K be a field of characteristic not p (an odd prime), containing a primitive p-th root of unity ζ, and let L = K[z] with x n − a the minimal polynomial of z over K: thus L|K is a Kummer extension, with cyclic Galois group G = 〈σ〉 acting on L via σ(z) = ζz. T. Kohl, 1998, showed that L|K has pn−1 Hopf Galois structures. In this paper we describe these Hopf Galois structures.
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2021
ISSN: ['1090-266X', '0021-8693']
DOI: https://doi.org/10.1016/j.jalgebra.2020.09.005