  As part of our on-going project on the homogeneous chemical characterization
of multiple stellar populations in globular clusters (GCs), we studied NGC
5634, associated to the Sagittarius dwarf spheroidal galaxy, using
high-resolution spectroscopy of red giant stars collected with FLAMES@VLT. We
present here the radial velocity distribution of the 45 observed stars, 43 of
which are member, the detailed chemical abundance of 22 species for the seven
stars observed with UVES-FLAMES, and the abundance of six elements for stars
observed with GIRAFFE. On our homogeneous UVES metallicity scale we derived a
low metallicity [Fe/H]=-1.867 +/-0.019 +/-0.065 dex (+/-statistical
+/-systematic error) with sigma=0.050 dex (7 stars). We found the normal
anti-correlations between light elements (Na and O, Mg and Al), signature of
multiple populations typical of massive and old GCs. We confirm the
associations of NGC 5634 to the Sgr dSph, from which the cluster was lost a few
Gyr ago, on the basis of its velocity and position and the abundance ratios of
alpha and neutron capture elements.
