Assertion: cyclic group | /r/HasProperty | z n
Facets:
Source sentences:
text: Cyclic groups Z n , order n, is a single cycle graphed simply as an n-sided polygon with the elements at the vertices.
text: If n and m are coprime, then the direct product of two cyclic groups Z/nZ and Z/mZ is isomorphic to the cyclic group Z/nmZ, and the converse also holds: this is one form of the Chinese remainder theorem.
text: When n = ab with a and b being relatively prime (i.e., gcd(a, b) = 1), a cyclic group Z n can be decomposed into a direct product Z a × Z b .