On the exact degree of multi-cyclic extension of $\mathbb{F}_{q}(t)$
Su Hu, Li, Yan · arXiv (Cornell University) · 2013
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.