Trivializing a central simple algebra of degree 4 over the rational numbers

Authors:
Jana Pílniková
Affiliations:
RICAM, Austrian Academy of Sciences, Altenbergerstrasse 69, A-4040 Linz, Austria
Venue:
Journal of Symbolic Computation
Year:
2007

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Abstract

We give an algorithm for finding an isomorphism of a given central simple algebra of degree 4 over the rationals and the full matrix algebra, provided it exists. It reduces the task to classical problems in number theory, for which there are already known algorithms.