On S3-extensions with infinite class field tower
Number Theory
2013-08-12 v2
Abstract
We construct a class of -extensions of with infinite 3-class field tower in which only three primes ramify. As an application, we obtain an -extension of with infinite 3-class field tower with smallest known (to the author) root discriminant among all fields with infinite 3-class field tower.
Cite
@article{arxiv.1308.1572,
title = {On S3-extensions with infinite class field tower},
author = {Jonah Leshin},
journal= {arXiv preprint arXiv:1308.1572},
year = {2013}
}