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 SymmetricGroup(3)

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 SymmetricGroup(8)

super_categories(*args, **kwds)¶

EXAMPLES:

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