Infinite class field tower with small root discriminant
Number Theory
2024-06-07 v2
Abstract
We generalize Schoof's theorem in 1986 and apply this to construct a class of Kummer extensions of the cyclotomic fields with infinite class tower. As an application, we give some number fields with a small root discriminant, which has an infinite -class field tower when .
Cite
@article{arxiv.2406.00797,
title = {Infinite class field tower with small root discriminant},
author = {Qi Liu and Zugan Xing},
journal= {arXiv preprint arXiv:2406.00797},
year = {2024}
}
Comments
9 pages