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Previous results suggest that there exists a correlation between the size ofthe bulge of a galaxy and the number of its dwarf galaxy satellites. This wasfound to be inconsistent with the standard model of cosmology based oncomparisons to semi-analytical dark matter-only simulations, where no suchcorrelation was found. In this work, we extend these studies using thevolume-complete ELVES dwarf galaxy catalog, which increases the number ofsystems compared to previous work by a factor of four. For each giant galaxy wecompile the bulge-to-total baryonic mass (B/T) ratio and put it as a functionof the number of dwarf galaxies surrounding them within 250 kpc (N$_{250}$).For the 29 galaxy systems in the ELVES catalog, we find a linear relationbetween B/T and N$_{250}$ which is consistent with previous data. However, fora given stellar mass of the host galaxy this relation is mainly driven by theirmorphology, where early-type galaxies have a larger B/T ratio and a largerN$_{250}$ than late type galaxies. By investigating spiral galaxies inIllustris-TNG100, we tested whether the inclusion of baryons in the simulationswill change the results based on Millennium-II. Contrary to dark matter-onlysimulations, we do find a correlation between B/T and N$_{250}$, indicatingthat the standard model of cosmology does predict a correlation. The empiricalrelation between the number of satellites and the bulge to total stellar massis therefore not necessarily in tension with $\Lambda$CDM.

Is the correlation between the bulge-to-total stellar mass ratio and the number of dwarf galaxies in tension with $\Lambda$CDM?