# Symbols:Group Theory/Order of Group Element

## Order of Group Element

$\order x$

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

The $\LaTeX$ code for $\order x$ is \order x .

## Also see

See:

Symbols:Absolute Value
Symbols:Cardinality
Symbols:Complex Modulus
Symbols:Order of Structure

for other uses of this symbol.