Norms in Central Simple Algebras
Number Theory
2017-07-11 v1
Abstract
Let A be a central simple algebra central over a number field K whose ring of integers is R. An outlier is an element r of R so that: r is a reduced norm of an element of A, but not the norm of an algebraic integer in A. We study properties and distribution of outliers. We end with a structure theorem about products of super singular elliptic curves over GF(p).
Cite
@article{arxiv.1707.02498,
title = {Norms in Central Simple Algebras},
author = {Daniel Goldstein and Murray Schacher},
journal= {arXiv preprint arXiv:1707.02498},
year = {2017}
}