Distinguishing division algebras by finite splitting fields
Rings and Algebras
2010-01-22 v1
Abstract
This paper is concerned with the problem of determining the number of division algebras which share the same collection of finite splitting fields. As a corollary we are able to determine when two central division algebras may be distinguished by their finite splitting fields over certain fields.
Keywords
Cite
@article{arxiv.1001.3685,
title = {Distinguishing division algebras by finite splitting fields},
author = {Daniel Krashen and Kelly McKinnie},
journal= {arXiv preprint arXiv:1001.3685},
year = {2010}
}
Comments
10 pages