Assertion: cyclic group | /r/HasProperty | = ⟨g⟩
Facets:
Source sentences:
text: On the other hand, in an infinite cyclic group G = ⟨g⟩, the powers gk give distinct elements for all integers k, so that G = { ... , g−2, g−1, e, g, g2, ... }, and G is isomorphic to the standard group C = C ∞ and to Z, the additive group of the integers.