Solvable extensions of number fields ramified at only one prime are Ostrowski
Number Theory
2023-07-24 v1
Abstract
In this note, we show that, under a certain condition, solvable extensions of number fields ramifed at only one prime are Ostrowski. As a corollary, we deduce a generalization of Hilbert Theorem 94 to cyclic extensions ramifed at one prime.
Keywords
Cite
@article{arxiv.2307.11510,
title = {Solvable extensions of number fields ramified at only one prime are Ostrowski},
author = {Ali Rajaei and Ehsan Shahoseini},
journal= {arXiv preprint arXiv:2307.11510},
year = {2023}
}