In this paper we identify objectively and analyze groups of galaxies in the
recently completed ESP survey (23(h)23(m) less than or equal to alpha(1950
) less than or equal to 01(h)20(m) and 22(h)30(m) less than or equal to alp
ha(1950) less than or equal to 22(h)52(m); -40 degrees 45' less than or equ
al to delta(1950) less than or equal to -39 degrees 45'). We find 231 group
s above the number overdensity threshold delta rho/rho = 80 in the redshift
range 5000 km s(-1) less than or equal to cz less than or equal to 60000 k
m s(-1). These groups contain 1250 members, 40.5% of the 3085 ESP galaxies
within the same cz range.
The median velocity dispersion (corrected for measurement errors and comput
ed at the redshift of the group) is sigma(ESP,median) = 194 km s(-1). We sh
ow that our result is reliable in spite of the particular geometry of the E
SP survey (two rows of tangent circular fields of radius theta = 15 arcmin)
, which causes most systems to be only partially surveyed. In general, we f
ind that the properties of ESP groups are consistent with those of groups i
n shallower (and wider) catalogs (e.g. CfA2N and SSRS2). As in shallower ca
talogs, ESP groups trace very well the geometry of the large scale structur
e. Our results are of particular interest because the depth of the ESP surv
ey allows us to sample group properties over a large number of structures.
We also compare luminosity function and spectral properties of galaxies tha
t are members of groups with those of isolated galaxies. We find that galax
ies in groups have a brighter M* with respect to non-member galaxies; the s
lope ai is the same, within the errors, in the two cases. We find that 34%
(467/1360) of ESP galaxies with detectable emission lines are members of gr
oups. The fraction of galaxies without detectable emission lines in groups
is significantly higher: 45% (783/1725). More generally, we find a gradual
decrease of the fraction of emission line galaxies among members of systems
of increasing richness. This result confirms that the morphology-density r
elation found for clusters also extends toward systems of lower density.