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arXiv · 1707.02498

Norms in Central Simple Algebras

Daniel Goldstein·Murray Schacher
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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).

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Daniel Goldstein, Murray Schacher. 2017-07-08. Norms in Central Simple Algebras. https://arxiv.org/abs/1707.02498

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