GroupActionBase

GroupActionBase
is an option to specify a base for a group.

DetailsDetails

  • A base of a group is a list of points of its domain of action such that the only element in the group fixing them all is the identity.
  • Reordering the points in a base gives a different base.
  • The choice of base affects the ordering of group elements in the functions GroupElements and GroupElementPosition.
  • If the list of points given is not a base, Mathematica will add more points until obtaining a base. In particular, GroupActionBase->{} will make Mathematica choose an appropriate base.

ExamplesExamplesopen allclose all

Basic Examples (1)Basic Examples (1)

Elements of a group in standard order:

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Sort them, specifying different priorities with a base:

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