Assertion: abelian group's element | /r/HasProperty | the identity
Facets:
value: namely
type: MANNER
Source sentences:
text: This group consists of exactly two elements: the identity and the permutation swapping the two points.
text: For example, the center of D n consists only of the identity if n is odd, but if n is even the center has two elements, namely the identity and the element rn/2
text: Geometrically, in two dimensions the Klein four-group is the symmetry group of a rhombus and of rectangles that are not squares, the four elements being the identity, the vertical reflection, the horizontal reflection, and a 180 degree rotation.
text: We have proved that any element of $G=A/T(A)$ that has finite order is the identity,
text: A group G is torsion free if the only element of finite order is the identity.