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arXiv · 1310.1645

On the exact degree of multi-cyclic extension of $\mathbb{F}_{q}(t)$

Su Hu·Yan Li
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Abstract

Let $q$ be a power of a prime number $p$, $k=\mathbb{F}_{q}(t)$ be the rational function field over finite field $\mathbb{F}_{q}$ and $K/k$ be a multi-cyclic extension of prime degree. In this paper we will give an exact formula for the degree of $K$ over $k$ by considering both Kummer and Artin-Schreier cases.

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Su Hu, Yan Li. 2013-10-06. On the exact degree of multi-cyclic extension of $\mathbb{F}_{q}(t)$. https://arxiv.org/abs/1310.1645

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