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We use deep HI observations obtained as part of the extended GALEX AreciboSDSS survey (xGASS) to study the cold gas properties of central galaxies acrossenvironments. We find that, below stellar masses of 10^10.2 Msun, centralgalaxies in groups have an average atomic hydrogen gas fraction ~0.3dex higherthan those in isolation at the same stellar mass. At these stellar masses,group central galaxies are usually found in small groups of N=2 members. Thehigher HI content in these low mass group central galaxies is mirrored by theirhigher average star formation activity and molecular hydrogen content. Atlarger stellar masses, this difference disappears and central galaxies ingroups have similar (or even smaller) gas reservoirs and star formationactivity compared to those in isolation. We discuss possible scenarios able toexplain our findings and suggest that the higher gas content in low mass groupcentral galaxies is likely due to contributions from the cosmic web or HI-richminor mergers, which also fuel their enhanced star formation activity.

xGASS: Gas-rich central galaxies in small groups and their connections to cosmic web gas feeding