The unit norm index and $p$-class group in certain degree $\ell$ extensions
Number Theory
2020-11-04 v1
Abstract
We examine when units in a field are the norms of elements in an extension field, given certain conditions. We apply these results to the study of the -class groups in lifts of the anti-cyclotomic -extension of .
Cite
@article{arxiv.2011.01451,
title = {The unit norm index and $p$-class group in certain degree $\ell$ extensions},
author = {Ariella Kirsch},
journal= {arXiv preprint arXiv:2011.01451},
year = {2020}
}
Comments
24 pages