Unramified alternating extensions of quadratic fields
Number Theory
2007-05-23 v1
Abstract
We exhibit, for n at least 5, infinitely many quadratic number fields admitting unramified degree n extensions with prescribed signature whose normal closures have Galois group A_n. This generalizes a result of Uchida and Yamamoto, which did not include the ability to restrict the signature, and a result of Yamamura, which was the case n=5.
Cite
@article{arxiv.math/0103234,
title = {Unramified alternating extensions of quadratic fields},
author = {Kiran S. Kedlaya},
journal= {arXiv preprint arXiv:math/0103234},
year = {2007}
}
Comments
4 pages