Sharp t-transitivity
= Sharp t-transitivity
{title2=$|G|=n(n-1)\cdots(n-t+1)$}
= Sharply t-transitive
{synonym}
An action is sharply $t$-transitive if each ordered $t$-tuple of distinct points is carried to any other by exactly one group element. For finite degree $n\geq t$, its order is $n(n-1)\cdots(n-t+1)$ and each ordered-tuple stabilizer is trivial. Sharp one-transitivity is a regular action. Finite sharp two-transitivity gives a <regular kernel of a finite sharply two-transitive group>.