Abstract
We studied the galaxy luminosity function in low mass systems of hosts with satellites galaxies. In order to do that, we have used the main spectroscopic galaxy sample from the fourth data release of the Sloan Digital Sky Survey (SDSS) to identify satellite galaxies around bright hosts. We used a statistical background subtraction method to compute the galaxy LF, following usually adopted techniques. We find that the faint-end slope of the galaxy LF is as step as α ∼ -1.8, and depends only slightly on the size of the system over a wide range in the number of members. We find also an upturn signature approximately at M_{r} ∼ -18 + 5log(h) depending on the host properties and the photometric band.