The classification of (3/2)-transitive permutation groups and (1/2)-transitive linear groups

Martin W. Liebeck, Cheryl E. Praeger, Jan Saxl

A linear group G on a finite vector space V, (that is, a subgroup of GL(V)) is called (1/2)-transitive if all the G-orbits on the set of nonzero vectors have the same size. We comp…