GroupTheory`
GroupTheory`

GTClasses

GTClasses[group]

gives the classes of conjugate elements of a group.

Details and Options

  • An element of a group is said to be conjugate to another element , if there exists an element such that . A set of mutually conjugate elements of is called "class" or "conjugacy class" of a group .
  • The following option can be given:
  • GOFast GOFastValueSkips the input validation
  • See: W. Hergert, M. Geilhufe, Group Theory in Solid State Physics and Photonics. Problem Solving with Mathematica, chapter 3.2.

Examples

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Basic Examples  (1)

First, load the package:

Then run the example:

Options  (2)

GOFast  (2)

The evaluation time can be decreased, using GOFastTrue.

If GOFastFalse is used, a check of the input will be performed.