GroupTheory`
GroupTheory`
GTOrderOfElement
GTOrderOfElement[element]
gives the order of a group element.
Details and Options
- The order
of a group element
is defined by the smallest number
with
, where
is the identity element of the group. In finite groups the order of a group element is also finite.
- The input of GTOrderOfElement can be of type symbol, matrix, quaternion or Euler angles.
- See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 3.1.