A permutation group is -homogeneous if it is transitive on unordered k-subsets of .
The projective special linear group is 3-homogeneous if .
A permutation group is -homogeneous if it is transitive on unordered k-subsets of .
The projective special linear group is 3-homogeneous if .
Weisstein, Eric W. "Homogeneous Permutation Group." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HomogeneousPermutationGroup.html