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

2015/11/23 by Diana Savin, Savin, Diana · 1 citation
Computer Science · Mathematics · #Coding theory and cryptography #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.1511.07509

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≥ 3) over a p- adic field or over a cyclotomic field.

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