论文标题

Hopf Galois结构的扩展度是两倍的奇数正方形,其相关的左括号

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

论文作者

Crespo, Teresa

论文摘要

我们确定度数两倍奇数正方形的Galois场延伸上的Hopf Galois结构,并对相应的左括号进行分类。此外,我们确定了奇数正方形的两倍的可分离场扩展,允许循环hopf galois结构和这些结构的数量。

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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