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  "body": "\n## Example\n\nLet $G$ be a [[group|G5S1M9]].\nThe map $G \\times G \\to G$, $(g, x) \\mapsto gx$, is an [[action|0WCY42EV9V]] of $G$ on the set $G$.\nThe two axioms are $ex = x$ and $g(hx) = (gh)x$, and they follow from the group axioms.\nThis action is [[transitive|02GK6HZYBT]], because $(yx^{-1})x = y$ for all $x, y \\in G$.\nThe [[stabiliser|0AYMP41THN]] of each point is $\\{e\\}$, because $gx = x$ implies $g = e$.\nIn particular, the action is [[faithful|0P7G9NGG2G]], and this gives [[Cayley's theorem|0151VYVX27]].\n",
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