Orbit map
= Orbit map
For a group $G$ acting on a set $X$ and a point $x\in X$, the orbit map is $G\to X$, $g\mapsto gx$. Its image is the <orbit of a group action> of $x$, and its fibres are cosets of the <stabilizer subgroup> of $x$.
= Orbit map
For a group $G$ acting on a set $X$ and a point $x\in X$, the orbit map is $G\to X$, $g\mapsto gx$. Its image is the <orbit of a group action> of $x$, and its fibres are cosets of the <stabilizer subgroup> of $x$.