Groupoid

class sage.categories.groupoid.Groupoid(G=None)

Bases: CategoryWithParameters

The category of groupoids, for a set (usually a group) \(G\).

FIXME:

• Groupoid or Groupoids ?

• definition and link with Wikipedia article Groupoid

• Should Groupoid inherit from Category_over_base?

EXAMPLES:

Sage

sage: Groupoid(DihedralGroup(3))
Groupoid with underlying set Dihedral group of order 6 as a permutation group

Python

>>> from sage.all import *
>>> Groupoid(DihedralGroup(Integer(3)))
Groupoid with underlying set Dihedral group of order 6 as a permutation group

classmethod an_instance()

Returns an instance of this class.

EXAMPLES:

Sage

sage: Groupoid.an_instance() # indirect doctest
Groupoid with underlying set Symmetric group of order 8! as a permutation group

Python

>>> from sage.all import *
>>> Groupoid.an_instance() # indirect doctest
Groupoid with underlying set Symmetric group of order 8! as a permutation group

super_categories()

EXAMPLES:

Sage

sage: Groupoid(DihedralGroup(3)).super_categories()
[Category of sets]

Python

>>> from sage.all import *
>>> Groupoid(DihedralGroup(Integer(3))).super_categories()
[Category of sets]