Some properties of the symbol algebras

Details Some properties of the symbol algebras Some properties of the symbol algebras

2009-06-15

arxiv.org/abs/0906.2715v1

Mathematics

Number Theory

This paper was accepted to publish in Carpathian Journal of Mathematics

Scientific paper

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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