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
Canonical name	SharplyMultiplyTransitive
Date of creation	2013-03-22 13:16:39
Last modified on	2013-03-22 13:16:39
Owner	mathcam (2727)
Last modified by	mathcam (2727)
Numerical id	5
Author	mathcam (2727)
Entry type	Definition
Classification	msc 20B20
Synonym	sharply $n$-transitive