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.

Examples

Basic Examples  (4)

First, load the package:

Calculate the order of