The trivial group, a group consisting of a single element, which should not be confused with the empty set (which has no elements, and lacking an identity element, cannot be a group), is the same as the similarly defined trivial monoid.
The trivial group, a group consisting of a single element, which should not be confused with the empty set (which has no elements, and lacking an identity element, cannot be a group), is the same as the similarly defined trivial monoid.