This is documentation for Mathematica 8, which was
based on an earlier version of the Wolfram Language.
View current documentation (Version 11.1)

GroupActionBase

GroupActionBase
is an option to specify a base for a group.
  • 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.
  • 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.
Elements of a group in standard order:
Sort them, specifying different priorities with a base:
Elements of a group in standard order:
In[1]:=
Click for copyable input
Out[1]=
In[2]:=
Click for copyable input
Out[2]=
Sort them, specifying different priorities with a base:
In[3]:=
Click for copyable input
Out[3]=
New in 8