Faint Companions of Isolated 2MIG Galaxies
  We present the results of a search for companions around the isolated galaxies from the 2MIG catalog. Among 3227 2MIG galaxies we detected 125 objects with a total of 214 neighbors having radial velocity differences of Delta V < 500 km/s and projected separations of R_p < 500 kpc relative to the 2MIG galaxies. The median luminosity of the companions is 1/25 of the luminosity of catalog galaxies, which has little effect on the dynamic isolation of the latter. The median ratio of the orbital mass to the K-luminosity determined from 60 companions of E and S0 2MIG galaxies, 63 M_sun/L_sun, is signficantly greater than that found from the spiral galaxy companions (17 M_sun/L_sun). We note that a fraction of 2MIG galaxies with companions may be a part of low-contrast diffuse structures: clouds and filaments. 
V. E. Karachentseva, I. D. Karachentsev, and O. V. Melnyk
astro-ph.CO