GroupElementPosition

GroupElementPosition[group,g]

returns the position of the element g in the list of elements of group.

GroupElementPosition[group,{g1,,gn}]

returns the list of positions of the elements g1,,gn in group.

Details and Options

  • Each position is an integer between 1 and the order of the group.
  • The positions of elements in a permutation group are by default based on the standard ordering of their images.
  • The ordering of elements in a permutation group can be controlled by setting the GroupActionBase option.

Examples

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Basic Examples  (1)

Find positions of group elements in a group. The identity is always the first element:

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Scope  (2)

Options  (1)

Properties & Relations  (1)

Possible Issues  (1)

See Also

Cycles  PermutationGroup  GroupElements  GroupElementQ

Tutorials

Introduced in 2010
(8.0)