# Definition(s)
> [!NOTE] Definition 1 ()
> Let $\phi$ be an [[Group action|action]] of the finite group $G$ on a set $X$. Let $x\in X$, then the stabilizer of $x$ is given by $\text{Stab}_{G}(x)= \{ g\in G: \phi(g,x)=x \}.$
> [!Example] Example
> Contents
# Properties(s)
Note that [[Stabilizer is Subgroup]].
# Application(s)
**More examples**:
# Bibliography