The Tamely Ramified Geometric Quantitative Minimal Ramification Problem
Number Theory
2022-12-01 v1 Quantum Algebra
Abstract
We prove a large finite field version of the Boston--Markin conjecture on counting Galois extensions of the rational function field with a given Galois group and the smallest possible number of ramified primes. Our proof involves a study of structure groups of (direct products of) racks.
Keywords
Cite
@article{arxiv.2211.16983,
title = {The Tamely Ramified Geometric Quantitative Minimal Ramification Problem},
author = {Mark Shusterman},
journal= {arXiv preprint arXiv:2211.16983},
year = {2022}
}