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GroupElementPosition

GroupElementPosition
returns the position of the element g in the list of elements of group.
GroupElementPosition
returns the list of positions of the elements in group.
  • 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.
Find positions of group elements in a group. The identity is always the first element:
Find positions of group elements in a group. The identity is always the first element:
In[1]:=
Click for copyable input
Out[1]=
Position of a permutation in the list of elements of a group:
List of positions of several elements in a group:
Change the ordering of the permutations in a group by specifying a base:
GroupElements performs the inverse operation for a list of elements:
For an element not present in the group the input is returned unevaluated:
New in 8