The luminosity–halo mass relation for brightest cluster galaxies

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Abstract
We examine the central galaxy luminosity–host halo mass relation for 54 brightest group galaxies (BGGs) and 92 brightest cluster galaxies (BCGs) at z < 0.1 and present the first measurement of this relation for a sample of known BCGs at . At z < 0.1 we find LK∝M0.24±0.08200 for the BCGs and the early-type BGGs in groups with extended X-ray emission and LK∝M0.11±0.10200 for the BCGs alone. At 0.1 < z < 0.8 we find LK∝M0.28±0.11200. We conclude that there is no evidence for evolution in this relationship between z < 0.1 and z < 0.8: BCG growth appears to still be limited by the time-scale for dynamical friction at these earlier times, not proceeding according to the predictions of present semi-analytic models.
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