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We present a public catalog of galaxy groups constructed from thespectroscopic sample of galaxies in the fourth data release from the DEEP2Galaxy Redshift Survey, including the Extended Groth Strip (EGS). The catalogcontains 1165 groups with two or more members in the EGS over the redshiftrange 0<z<1.5 and 1295 groups at z>0.6 in the rest of DEEP2. 25% of EGSgalaxies and 14% of high-z DEEP2 galaxies are assigned to galaxy groups. Thegroups were detected using the Voronoi-Delaunay Method, after it has beenoptimized on mock DEEP2 catalogs following similar methods to those employed inGerke et al. (2005). In the optimization effort, we have taken particular careto ensure that the mock catalogs resemble the data as closely as possible, andwe have fine-tuned our methods separately on mocks constructed for the EGS andthe rest of DEEP2. We have also probed the effect of the assumed cosmology onour inferred group-finding efficiency by performing our optimization on threedifferent mock catalogs with different background cosmologies, finding largedifferences in the group-finding success we can achieve for these differentmocks. Using the mock catalog whose background cosmology is most consistentwith current data, we estimate that the DEEP2 group catalog is 72% complete and61% pure (74% and 67% for the EGS) and that the group-finder correctlyclassifies 70% of galaxies that truly belong to groups, with an additional 46%of interloper galaxies contaminating the catalog (66% and 43% for the EGS).(Abridged)

The DEEP2 Galaxy Redshift Survey: The Voronoi-Delaunay Method catalog of galaxy groups