Minimal ramification and the inverse Galois problem over the rational function field $\mathbb{F}_p(t)$
Year: 2014
Type: preprint
Abstract: The inverse Galois problem is concerned with finding a Galois extension of a field $K$ with given Galois group. In this paper we consider the particular case where the base field is $K=\F_p(t)$. We give a conjectural formula for the minimal number of primes, both finite and infinite, ramified in $G$-extensions of $K$, and give theoretical and computational proofs for many cases of this conjecture.
Source: arXiv (Cornell University)
Author: De Witt, Meghan
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1983832769