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Homogeneous Permutation Group


A permutation group (G,X) is k-homogeneous if it is transitive on unordered k-subsets of X.

The projective special linear group PSL(2,q) is 3-homogeneous if q=3 (mod 4).


See also

Permutation Group, Transitive Group

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Cite this as:

Weisstein, Eric W. "Homogeneous Permutation Group." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HomogeneousPermutationGroup.html

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