Permutation group

Multiply transitive permutation group

A permutation group is -transitive iff it acts on ordered tuples in transitively. group

Classification

• For , the only -transitive groups are with and with ;
• The only 5-transitive groups that aren’t 6-transitive are Mathieu group M24, Mathieu group M12, [[Symmetric group|]], and [[Alternating group|]].

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