A permutation group 
is 
-homogeneous if it is transitive
on unordered k-subsets of 
.
The projective special linear group 
is 3-homogeneous if 
.
Homogeneous Permutation Group
See also
Permutation Group, Transitive GroupExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Homogeneous Permutation Group." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/HomogeneousPermutationGroup.html