  The properties of the domain-wall energy and of the correlation length are
studied numerically for the one-dimensional +-J XY spin glass on the two-leg
ladder lattice, focusing on both the spin and the chirality degrees of freedom.
Analytic results obtained by Ney-Niftle et al for the same model were confirmed
for asymptotically large lattices, while the approach to the asymptotic limit
is slow and sometimes even non-monotonic. Attention is called to the occurrence
of the SO(2)-Z_2 decoupling and its masking in spin correlations, the latter
reflecting the inequality between the SO(2) and Z_2 exponents. Discussion is
given concerning the behaviors of the higher-dimensional models.
