Evolution of galaxies in groups in the Coma Supercluster
  We take a close look at the galaxies in the Coma Supercluster and assess the
role of the environment (in the form of cluster, group and supercluster
filament) in their evolution, in particular examining the role of groups. We
characterise the groups according to intrinsic properties such as richness and
halo mass, as well as their position in the supercluster and proximity to the
two rich clusters, Abell 1656 (Coma) and Abell 1367. We devise a new way of
characterising the local environment using a kernel density estimator. We find
that apart from the dominant effects of the galaxy mass, the effect of the
environment on galaxies is a complex combination of the overdensities on
various scales, which is characterised in terms of membership of groups, and
also of the position of the galaxy on filaments and their proximity to the
infall regions of clusters. Whether the gas can be turned into stars depends
upon the level of pre-processing, which plays a role in how star formation is
enhanced in a given environment. Our results are consistent with gas accreted
in the cold mode from the filaments, being made available to enhance star
formation. Finally, we show that the Abell~1367 end of the supercluster is in
the process of assembly at present, leading to heightened star formation
activity, in contrast with the Coma-end of the filament system.
