Every cyclic group is [[commutative]]. Any group with a [[prime number]] of elements is cyclic. A cyclic group is either [[Isomorphism|isomorphic]] to <math>\mathbb{Z}</math> , or to <math>\mathbb{Z}/n\mathbb{Z}</math> for some <math>n \in \mathbb{N}</math>. | Every cyclic group is [[commutative]]. Any group with a [[prime number]] of elements is cyclic. A cyclic group is either [[Isomorphism|isomorphic]] to <math>\mathbb{Z}</math> , or to <math>\mathbb{Z}/n\mathbb{Z}</math> for some <math>n \in \mathbb{N}</math>. |