On quaternion algebra over the composite of quadratic number fields and over some dihedral fields
Number Theory
2018-03-20 v2
Abstract
Let p and q be two positive primes. In this paper we obtain a complete characterization of quaternion division algebras H_K(p,q) over the composite K of n quadratic number fields. Also, in Section 6, we obtain a characterization of quaternion division algebras H_K(p,q) over some dihedral fields K.
Keywords
Cite
@article{arxiv.1802.08185,
title = {On quaternion algebra over the composite of quadratic number fields and over some dihedral fields},
author = {Vincenzo Acciaro and Diana Savin},
journal= {arXiv preprint arXiv:1802.08185},
year = {2018}
}
Comments
This is a preliminary form of the article. Categories: number theory; rings and algebras