Assertion: group | /r/HasProperty | z / n z
Facets:
Source sentences:
text: The group ( Z / n Z ) × {\displaystyle (\mathbb {Z} /n\mathbb {Z} )^{\times }} is cyclic if and only if n is 1, 2, 4, pk or 2pk, where p is an odd prime and k > 0.
text: By the fundamental theorem of finite abelian groups, the group ( Z / n Z ) × {\displaystyle (\mathbb {Z} /n\mathbb {Z} )^{\times }} is isomorphic to a direct product of cyclic groups of prime power orders.