# sharply multiply transitive

Let $G$ be a group, and $X$ a set that $G$ acts on, and let $X^{(n)}$ be the set of ordered $n$-tuples of distinct elements of $X$. Then the action of $G$ on $X$ is sharply $n$-transitive if $G$ acts regularly on $X^{(n)}$.

Title sharply multiply transitive SharplyMultiplyTransitive 2013-03-22 13:16:39 2013-03-22 13:16:39 mathcam (2727) mathcam (2727) 5 mathcam (2727) Definition msc 20B20 sharply $n$-transitive