Clusters of Galaxies in the SDSS

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I review here past and present research on clusters and groups of galaxies within the Sloan Digital Sky Survey (SDSS). In particular, I discuss the C4 algorithm which is designed to search for clusters within a 7-dimensional data-space, i.e., simultaneous in both color & space. The C4 catalog has a well defined selection function based on mock SDSS galaxy catalogs constructed from the Hubble Volume simulation, and is >90% complete, with <10% contamination, for halos with M200 > 10^14 Msolar at z<0.14. Furthermore, the observed summed r-band luminosity of C4 clusters is linearly related to M200 with <30% scatter at any given halo mass. I also briefly review the selection and observation of Luminous Red Galaxies (LRGs) and demonstrate that these galaxies have a similar clustering strength as clusters and groups of galaxies. I outline a new collaboration planning to obtain redshifts for 10,000 LRGs at 0.4<z<0.7 using the SDSS photometric data and the AAT 2dF instrument. Finally, I review the role of clusters and groups of galaxies in the study of galaxy properties as a function of environment. In particular, I discuss the ``SFR--Density'' and ``Morphology--Radius'' relations for the SDSS and note that both of these relationships have a critical density (or ``break'') at a projected local galaxy density of ~1 h_75^2 Mpc^-2 (or between 1 to 2 virial radii). One possible physical mechanism to explain this observed critical density is the stripping of warm gas from the halos of in-falling spiral galaxies, thus leading to a slow strangulation of star-formation in these galaxies. This scenario is consistent with the recent discovery (within the SDSS) of an excess of ``Passive'' or ``Anemic'' spiral galaxies located within the in-fall regions of C4 clusters.
Invited review talk to be published in the Carnegie Observatories Astrophysics Series, Vol. 3: Clusters of Galaxies: Probes of Cosmological Structure and Galaxy Evolution, ed. J. S. Mulchaey, A. Dressler, and A. Oemler (Cambridge: Cambridge Univ. Press)

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