G-Sets

class sage.categories.g_sets.GSets(G)

Bases: sage.categories.category.Category

The category of \(G\)-sets, for a group \(G\).

EXAMPLES:

sage: S = SymmetricGroup(3)
sage: GSets(S)
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
Category of G-sets for Symmetric group of order 8! as a permutation group

super_categories()

EXAMPLES:

sage: GSets(SymmetricGroup(8)).super_categories()
[Category of sets]