# Category:Examples of Order of Group Elements

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This category contains examples of Order of Group Element/Definition 1.

The **order of $x$ (in $G$)**, denoted $\order x$, is the smallest $k \in \Z_{> 0}$ such that $x^k = e_G$.

## Subcategories

This category has only the following subcategory.

## Pages in category "Examples of Order of Group Elements"

The following 10 pages are in this category, out of 10 total.

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- Order of Finite Abelian Group with p+ Order p Elements is Divisible by p^2
- Order of Finite Abelian Group with p+ Order p Elements is Divisible by p^2/Examples
- Order of Group Element/Examples
- Order of Group Element/Examples/Element of Multiplicative Group of Real Numbers
- Order of Group Element/Examples/Imaginary Unit in Multiplicative Group of Complex Numbers
- Order of Group Element/Examples/Matrix (1 1, 0 1) in General Linear Group
- Order of Group Element/Examples/Possible Orders of x when x^2 = x^12
- Order of Group Element/Examples/Rotation Through nth Part of Full Angle