Assertion: abelian group's element | /r/CapableOf | define non-trivial inner automorphism
Facets:
Source sentences:
text: For n odd, the dihedral group is centerless, so any element defines a non-trivial inner automorphism; for n even, the rotation by 180° (reflection through the origin) is the non-trivial element of the center.
text: odd, the dihedral group is centerless, so any element defines a non-trivial inner automorphism; for even, the rotation by 180° (reflection through the origin) is the non-trivial element of the center.