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    $\begingroup$ It has to be non trivial. A rotation of $0$ or $2\pi$ about an axis being trivial. $\endgroup$
    – K_P
    Commented Apr 17, 2016 at 16:18
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    $\begingroup$ No, this is not what they say. If you skip a few words from a meaningful sentence, it is quite easy to arrive at nonsense. It is not just "any kind of symmetry"; it is "any kind of inversion symmetry", or "any kind of symmetry with determinant -1". Rotational symmetry does not apply, though it is surely true and real (and non-trivial, for that matter). $\endgroup$ Commented Apr 17, 2016 at 17:24