Magnitude gap distribution of the remnant groups at z = 0 for the halos that are selected as fossil, control, and random groups at z = 1 and traced to z = 0. The blue dashed, green dotted and red solid histograms show a gap distribution for traced fossil, control, and random groups within SI (top panel), SII (middle panel), and SIII (bottom panel). It appears that ≈ 40% of fossils with M200> 1014 M⊙h-1 survive their gap after evolving between z = 1 and z = 0.
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