The Differing Relationships Between Size, Mass, Metallicity and Core
  Velocity Dispersion of Central and Satellite Galaxies
  We study the role of environment in the evolution of central and satellite
galaxies with the Sloan Digital Sky Survey. We begin by studying the size-mass
relation, replicating previous studies, which showed no difference between the
sizes of centrals and satellites at fixed stellar mass, before turning our
attention to the size-core velocity dispersion ($\sigma_0$) and mass-$\sigma_0$
relations. By comparing the median size and mass of the galaxies at fixed
velocity dispersion we find that the central galaxies are consistently larger
and more massive than their satellite counterparts in the quiescent population.
In the star forming population we find there is no difference in size and only
a small difference in mass. To analyse why these difference may be present we
investigate the radial mass profiles and stellar metallicity of the galaxies.
We find that in the cores of the galaxies there is no difference in mass
surface density between centrals and satellites, but there is a large
difference at larger radii. We also find almost no difference between the
stellar metallicity of centrals and satellites when they are separated into
star forming and quiescent groups. Under the assumption that $\sigma_0$ is
invariant to environmental processes, our results imply that central galaxies
are likely being increased in mass and size by processes such as minor mergers,
particularly at high $\sigma_0$, while satellites are being slightly reduced in
mass and size by tidal stripping and harassment, particularly at low
$\sigma_0$, all of which predominantly affect the outer regions of the
galaxies.
