Category:Definitions/Cyclic Groups

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This category contains definitions related to Cyclic Groups.
Related results can be found in Category:Cyclic Groups.

The group $G$ is cyclic if and only if every element of $G$ can be expressed as the power of one element of $G$:

$\exists g \in G: \forall h \in G: h = g^n$

for some $n \in \Z$.