◀ ▲ ▶Branches / Algebra / Theorem: Classification of Cyclic Groups
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 $G=n.$
Table of Contents
Proofs: 1
 Definition: Group Order
Mentioned in:
Explanations: 1
Proofs: 2
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References
Bibliography
 Modler, Florian; Kreh, Martin: "Tutorium Algebra", Springer Spektrum, 2013