2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154490Nonproduct n-qubit pure states with maximum dimensional stabilizer subgroups of the group of local unitary transformations are precisely the generalized n-qubit Greenberger-Horne-Zeilinger states and their local unitary equivalents, for n greater than or equal to 3 but not equal to 4. We characterize the Lie algebra of the stabilizer subgroup for these states. For n=4, there is an additional maximal stabilizer subalgebra, not local unitary equivalent to the former. We give a canonical form for states with this stabilizer as well.6 pages, version 3 has a typographical correction in the displayed equation just after numbered equation (2), and other minor correctionsQuantum Physicstext