BUILT-IN MATHEMATICA SYMBOL
GroupActionBase
- 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.
Elements of a group in standard order:
| Out[1]= |  |
| Out[2]= |  |
Sort them, specifying different priorities with a base:
| Out[3]= |  |
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