👉 In mathematics, a stabilizer of a set $S$ is an element $\sigma \in \mathrm{GL}_n(\mathbb{F})$, where $\mathbb{F}$ is a field, that fixes all elements in $S$. This means that for every $x\in S$, the map $\sigma(x)$ is also in $S$. For example, if $S = \{1, 2, 3, 4\}$ and $\math