Frobenius matrices and a variant of Zolotarev's theorem

Hai-Liang Wu; Li-Yuan Wang

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arXiv · 2101.05558

Frobenius matrices and a variant of Zolotarev's theorem

Hai-Liang Wu·Li-Yuan Wang

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Abstract

In this paper, with the help of the theory of matrices and finite fields we generalize Zolotarev's theorem to an arbitrary finite dimensional vector space over $\mathbb{F}_q$, where $\mathbb{F}_q$ denotes the finite field with $q$ elements.

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Hai-Liang Wu, Li-Yuan Wang. 2021-01-14. Frobenius matrices and a variant of Zolotarev's theorem. https://arxiv.org/abs/2101.05558

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