Minimal ramification and the inverse Galois problem over the rational function field $\mathbb{F}_p(t)$
Number Theory
2014-10-31 v1
Abstract
The inverse Galois problem is concerned with finding a Galois extension of a field with given Galois group. In this paper we consider the particular case where the base field is . We give a conjectural formula for the minimal number of primes, both finite and infinite, ramified in -extensions of , and give theoretical and computational proofs for many cases of this conjecture.
Keywords
Cite
@article{arxiv.1410.8381,
title = {Minimal ramification and the inverse Galois problem over the rational function field $\mathbb{F}_p(t)$},
author = {Meghan De Witt},
journal= {arXiv preprint arXiv:1410.8381},
year = {2014}
}