The minimal ramification problem for rational function fields over finite fields
Number Theory
2022-12-26 v3
Abstract
We study the minimal number of ramified primes in Galois extensions of rational function fields over finite fields with prescribed finite Galois group. In particular, we obtain a general conjecture in analogy with the well studied case of number fields, which we establish for abelian, symmetric and alternating groups in many cases.
Keywords
Cite
@article{arxiv.2106.09126,
title = {The minimal ramification problem for rational function fields over finite fields},
author = {Lior Bary-Soroker and Alexei Entin and Arno Fehm},
journal= {arXiv preprint arXiv:2106.09126},
year = {2022}
}
Comments
v3: minor changes