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k-Transitive Group


A group is called k-transitive group if there exists a set of elements on which the group acts faithfully and k-transitively. It should be noted that transitivity computed from a particular permutation representation may not be the (maximal) transitivity of the abstract group. For example, the Higman-Sims group has both a 2-transitive representation of degree 176 and a 1-transitive representation of degree 100.


See also

Transitive Group

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Cite this as:

Weisstein, Eric W. "k-Transitive Group." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/k-TransitiveGroup.html