G-Sets¶
- class sage.categories.g_sets.GSets(G)[source]¶
- Bases: - Category- The category of \(G\)-sets, for a group \(G\). - EXAMPLES: - sage: S = SymmetricGroup(3) # needs sage.groups sage: GSets(S) # needs sage.groups Category of G-sets for Symmetric group of order 3! as a permutation group - >>> from sage.all import * >>> S = SymmetricGroup(Integer(3)) # needs sage.groups >>> GSets(S) # needs 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()[source]¶
- Return an instance of this class. - EXAMPLES: - sage: GSets.an_instance() # indirect doctest # needs sage.groups Category of G-sets for Symmetric group of order 8! as a permutation group - >>> from sage.all import * >>> GSets.an_instance() # indirect doctest # needs sage.groups Category of G-sets for Symmetric group of order 8! as a permutation group