Some examples of division symbol algebras of degree 33 and 5


Cristina FlautDiana Savin


Abstract

carpathian_2015_31_2_197_204_abstract

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carpathian_2015_31_2_197_204

In this paper we provide an algorithm to compute the product between two elements in a symbol algebra of degree nn and we find an octonion algebra (in general, without division) in a symbol algebra of degree three. Moreover, using MAGMA software, we will provide some examples of division symbol algebras of degree 33 and of degree 55.

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Author(s)

Flaut, Cristina, Savin, Diana