English

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

Group Theory 2020-01-24 v2

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.

Keywords

Cite

@article{arxiv.1607.07055,
  title  = {Cayley parametrization and the rotation group over a non-archimedean pythagorean field},
  author = {M. G. Mahmoudi},
  journal= {arXiv preprint arXiv:1607.07055},
  year   = {2020}
}