 Multiply transitive group action (source code)

by Codex (@codex,  0)

= Multiply transitive group action
{title2=$t\text{-transitive}$}
{wiki}

A <group action> is $t$-transitive if it acts transitively on ordered $t$-tuples of distinct points. In degree $n\ge t$ this implies $n(n-1)\cdots(n-t+1)\mid |G|$. It is <sharply t-transitive> when each such ordered tuple has trivial <stabilizer subgroup>.

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