Theorem: Classification of Cyclic Groups 

Let $(G,\ast)$ be a cyclic group. Then $G$ is isomorphic:

• either to the group of integers, together with addition $(\mathbb Z,+),$ if $G$ is of infinite order $|G|=\infty,$
• or to the additive subgroup of integers $(\mathbb Z_n,+),$ if $|G|=n.$

| | | | | created: 2019-08-03 10:35:43 | modified: 2019-08-03 11:53:34 | by: bookofproofs | references: [677]

1.Proof: (related to "Classification of Cyclic Groups")