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We analyse spatially-resolved deep optical spectroscopy of Brightest ClusterGalaxies (BCGs) located in 32 massive clusters with redshifts of 0.05 $\leq z\leq$ 0.30, to investigate their velocity dispersion profiles. We compare thesemeasurements to those of other massive early-type galaxies, as well as centralgroup galaxies, where relevant. This unique, large sample extends to the mostextreme of massive galaxies, spanning M$_{K}$ between -25.7 to -27.8 mag, andhost cluster halo mass M$_{500}$ up to 1.7 $\times$ 10$^{15}$ M$_{\odot}$. Tocompare the kinematic properties between brightest group and cluster members,we analyse similar spatially-resolved long-slit spectroscopy for 23 nearbyBrightest Group Galaxies (BGGs) from the Complete Local-Volume Groups Sample(CLoGS). We find a surprisingly large variety in velocity dispersion slopes forBCGs, with a significantly larger fraction of positive slopes, unique comparedto other (non-central) early-type galaxies as well as the majority of thebrightest members of the groups. We find that the velocity dispersion slopes ofthe BCGs and BGGs correlate with the luminosity of the galaxies, and wequantify this correlation. It is not clear whether the full diversity invelocity dispersion slopes that we see is reproduced in simulations.

Diversity in the stellar velocity dispersion profiles of a large sample of Brightest Cluster Galaxies $z\leq0.3$