We report the results of an almost complete survey of the X-ray proper
ties of Hickson's compact galaxy groups with the ROSAT PSPC. Diffuse X
-ray emission is detected from 22 groups. We infer that hot intragroup
gas is present in greater than or similar to 75 per cent of these sys
tems, and derive their X-ray luminosity function. Earlier reports that
only spiral-poor systems exhibit diffuse X-ray emission are found Co
be incorrect. Strong correlations are found between the X-ray luminosi
ty and both the gas temperature and the velocity dispersion of the gro
up galaxies. We argue that these properties provide strong evidence th
at most of these groups are genuinely compact configurations, rather t
han line-of-sight superpositions. Comparison with the X-ray properties
of galaxy clusters indicates a significant steepening of the L-T rela
tion below T similar to 1 KeV, which may result from tile action of ga
laxy winds.