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

作者：Savin Diana^*

来源：Bulletin Mathematique de la Societe des Sciences Mathematiques de Roumanie, 2017, 60(3): 307-312.

• quaternion and symbol algebras
• quadratic fields
• cyclotomic fields
• Kummer fields
• p-adic fields

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 non-split symbol algebras of degree n (where n is a positive integer, n >= 3) over a p adic field or over a cyclotomic field.

• 出版日期2017