Class Groups of Dihedral Extensions
Number Theory
2009-09-29 v1
Abstract
Let L/F be a dihedral extension of degree 2p, where p is an odd prime. Let K/F and k/F be subextensions of L/F with degrees p and 2, respectively. Then we will study relations between the p-ranks of the class groups Cl(K) and Cl(k).
Cite
@article{arxiv.math/0301387,
title = {Class Groups of Dihedral Extensions},
author = {Franz Lemmermeyer},
journal= {arXiv preprint arXiv:math/0301387},
year = {2009}
}