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arXiv · 0906.2715

Some properties of the symbol algebras

Diana Savin·Cristina Flaut·Camelia Ciobanu
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Abstract

In this paper, we obtain some properties of the symbol algebras, starting from their connections with the quaternion and cyclic algebras over a field $K_{p},$% where $K$ is an algebraic number field, $p$ is a prime in $K$ and $K_{p}$ is the completion of $K$ with respect to $p-$ adic valuation, in the case when $K=\Bbb{Q}(\varepsilon), \varepsilon ^{3}=1,\varepsilon \neq 1.$

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Diana Savin, Cristina Flaut, Camelia Ciobanu. 2009-06-15. Some properties of the symbol algebras. https://arxiv.org/abs/0906.2715

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