We investigate the stability of the coupled soliton solutions of a two-comp
onent Z(2) vector field model, in contraposition to similar solutions of a
Z(2) x Z(2) model recently introduced. We demonstrate that the coupled soli
ton solutions of the Z(2) model are classically unstable. (C) 1999 American
Institute of Physics. [S0022-2488(99)01107-X].