2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144902Let G be a transitive group of permutations of a finite set X, and suppose that some element of G has at most two orbits on X. We prove that any two maximal chains of groups between G and a point-stabilizer of G have the same length, and the same sequence of relative indices between consecutive groups (up to permutation). We also deduce the same conclusion when G has a transitive quasi-Hamiltonian subgroup.Group TheoryAlgebraic Geometry20E15text