Classification of Maximally Entangled States of Spin-1/2 Particles

A simple geometrical proof is given in order to show that any two maximally entangled states of three spin-1/2 particles are locally unitarily connected. And assuming a condition, which ensures that a typical plane in the Hilbert space of $n$ particles contains at least one product state, it is shown that any two maximally entangled states of spin-1/2 particles are locally unitarily connected