# Category:Examples of Order of Power of Group Element

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This category contains examples of Order of Power of Group Element.

Let $\struct {G, \circ}$ be a group whose identity is $e$.

Let $g \in G$ be an element of $G$ such that:

- $\order g = n$

where $\order g$ denotes the order of $g$.

Then:

- $\forall m \in \Z: \order {g^m} = \dfrac n {\gcd \set {m, n} }$

where $\gcd \set {m, n}$ denotes the greatest common divisor of $m$ and $n$.

## Pages in category "Examples of Order of Power of Group Element"

The following 2 pages are in this category, out of 2 total.