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We present a new catalogue of 55,121 groups and clusters centred on Luminous Red Galaxies from SDSS DR7 in the redshift range 0.15<z<0.4. We provide halo mass estimates for each of these groups derived from a calibration between the optical richness of bright galaxies (M_r<-20.5) within 1 Mpc, and X-ray-derived mass for a small subset of 129 groups and clusters with X-ray measurements. We derive the mean (stacked) surface number density profiles of galaxies as a function of total halo mass in different mass bins. We find that derived profiles can be well-described by a projected NFW profile with a concentration parameter (<c>~2.6) that is approximately a factor of two lower than that of the dark matter (as predicted by N-body cosmological simulations) and nearly independent of halo mass. Interestingly, in spite of the difference in shape between the galaxy and dark matter radial distributions, both exhibit a high degree of self-similarity. A self-consistent comparison to several recent semi-analytic models of galaxy formation indicates that: (1) beyond ~0.3 r_500 current models are able to reproduce both the shape and normalisation of the satellite profiles; and (2) within ~0.3 r_500 the predicted profiles are sensitive to the details of the satellite-BCG merger timescale calculation. The former is a direct result of the models being tuned to match the global galaxy luminosity function combined with the assumption that the satellite galaxies do not suffer significant tidal stripping, even though their surrounding dark matter haloes can be removed through this process. Combining our results with measurements of the intracluster light should provide a way to inform theoretical models on the efficacy of the tidal stripping and merging processes.
We present a new determination of the dust content and near-ultraviolet/optical extinction curves associated with a sample of ~8300 strong (equivalent width > 1A) Mg II absorbers, with redshifts 0.4<z<2.2, identified in Sloan Digital Sky survey (SDSS ) spectra of quasars. Taking into account the selection effects that result from dust extinction, including the reduction in the signal-to-noise ratio of an absorber appearing in a reddened quasar spectrum, we find a stronger dependence of E(B-V) on absorber rest equivalent width (EW) than in other published work. The dependence of the median reddening on EW can be reproduced by a power-law model: E(B-V)=.8+/-3*10-4 * EW^(3.48+/-0.3) for 1.0A<EW<5.0A. Observed Mg II samples, derived from flux-limited quasar surveys, are shown to suffer from significant incompleteness at the level of 24+/-4 per cent for absorbers with EW>1A and 34+/-2 per cent for absorbers with EW>2A. Direct determination of the shape of the near-ultraviolet extinction curves for absorbers as a function of E(B-V) show evidence for systematic changes in the form of the extinction curves. At low E(B-V) (>0.05), the extinction curve is well represented by a Small Magellanic Cloud-like extinction curve. For intermediate E(B-V)s (<0.2), approximately a third of MgII absorbers show evidence for a 2175A feature similar to that of the Large Magellanic Cloud. For the small number of high E(B-V) (>0.3) absorbers, the majority of which exhibit strong CaII 3935,3970 absorption, there is evidence for a 2175A feature as strong as that found in the Milky Way. Application of the new results on the dust content of strong Mg II absorbers shows that dusty absorbers can account for a significant proportion, up to a factor of two, of the observed overdensity of absorbers seen towards Gamma-Ray Burst (GRB) sightlines, compared to sightlines towards quasars in flux-limited samples. (Abridged)
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