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Aims: At intermediate redshift, galaxy groups/clusters are thought to impactgalaxies (e.g. their angular momentum). We investigate whether the environmenthas an impact on the galaxies' angular momentum and identify underlying drivingphysical mechanisms.  Methods: We derive robust estimates of the stellar angular momentum usingHubble Space Telescope (HST) images combined with spatially resolved ionisedgas kinematics from the Multi-Unit Spectroscopic Explorer (MUSE) for a sampleof ~200 galaxies in groups and in the field at z~0.7 drawn from the MAGICsurvey. Using various environmental tracers, we study the position of thegalaxies in the the angular momentum-stellar mass (Fall) relation as a functionof environment.  Results: We measure a 0.12 dex (2sigma significant) depletion of angularmomentum for low-mass galaxies (M* < 10^10 Msun) in groups with respect to thefield. Massive galaxies located in dense environments have less angularmomentum than expected from the low-mass Fall relation but, without acomparable field sample, we cannot infer whether this effect is mass- orenvironmentally-driven. Furthermore, massive galaxies are found in the centreof the structures and have low systemic velocities. The observed depletion ofangular momentum at low mass does not appear linked with the strength of theover-density around the galaxies but it is strongly correlated with thegalaxies' systemic velocity normalised by the dispersion of their host groupand with their ionised gas velocity dispersion.  Conclusions: Group galaxies seem depleted in angular momentum, especially atlow mass. Our results suggest that this depletion might be induced by physicalmechanisms that scale with the systemic velocity of the galaxies (e.g.stripping or merging) and that such mechanism might be responsible forenhancing the velocity dispersion of the gas as galaxies lose angular momentum.

Stellar angular momentum of disk galaxies at z = 0.7 in the MAGIC survey I. Impact of the environment