Cayley parametrization and the rotation group over a non-archimedean pythagorean field

Published 24 Jul 2016 in math.GR | (1607.07055v2)

Abstract: Using Cayley transform, we show how to construct rotation matrices \emph{infinitely near} the identity matrix over a non-archimedean pythagorean field. As an application, an alternative way to construct non-central proper normal subgroups of the rotation group over such fields is provided.

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M. G. Mahmoudi

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