About split quaternion algebras over quadratic fields and symbol algebras of degree $n$

Diana Savin

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arXiv · 1511.07509

About split quaternion algebras over quadratic fields and symbol algebras of degree $n$

Diana Savin

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Abstract

In this paper we determine sufficient conditions for a quaternion algebra to split over a quadratic field. In the last section of the paper, we find a class of division symbol algebras of degree $n$ (where $n$ is a positive integer, $n\geq 3$) over a $p-$ adic field or over a cyclotomic field.

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Diana Savin. 2016-10-23. About split quaternion algebras over quadratic fields and symbol algebras of degree $n$. https://arxiv.org/abs/1511.07509

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