G-Sets#
- class sage.categories.g_sets.GSets(G)#
Bases:
Category
The category of \(G\)-sets, for a group \(G\).
EXAMPLES:
sage: S = SymmetricGroup(3) # optional - sage.groups sage: GSets(S) # optional - sage.groups Category of G-sets for Symmetric group of order 3! as a permutation group
TODO: should this derive from Category_over_base?
- classmethod an_instance()#
Returns an instance of this class.
EXAMPLES:
sage: GSets.an_instance() # indirect doctest # optional - sage.groups Category of G-sets for Symmetric group of order 8! as a permutation group
- super_categories()#
EXAMPLES:
sage: GSets(SymmetricGroup(8)).super_categories() # optional - sage.groups [Category of sets]