Unramified Heisenberg group extensions of number fields
Number Theory
2022-06-15 v3
Abstract
We construct \'etale generalized Heisenberg group covers of hyperelliptic curves over number fields. We use these to produce infinite families of quadratic extensions of cyclotomic fields that admit everywhere unramified generalized Heisenberg Galois extensions.
Keywords
Cite
@article{arxiv.1912.03019,
title = {Unramified Heisenberg group extensions of number fields},
author = {Frauke Bleher and Ted Chinburg and Jean Gillibert},
journal= {arXiv preprint arXiv:1912.03019},
year = {2022}
}
Comments
11 pages; added Remark 3.4, extended Section 3.3, shortened Section 4.2 and added Section 4.3