# Symbols:Group Theory

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## Symbols used in Group Theory

### 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`

.

### Group Action

- $\wedge$

$g \wedge x$ is sometimes used for the image of $x$ under the action of $g$, but this usage is non-standard.

The $\LaTeX$ code for \(\wedge\) is `\wedge`

.

The same symbol can be produced using `\land`

, but this is usually used when the symbol is used in the sense of the **logical and** context.