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We performed a series of direct N-body simulations with the aim to follow thedynamical evolution of a galaxy cluster (GC) ($M_{clus}\simeq 10^{14}M_{\odot}$) in different environment. The results show the formation of heavysub-structures in the cluster centre in consequence of multiple merging amongthe innermost galaxies. Moreover we investigate the dynamics of super-massiveblack holes (SMBHs) residing in the centre of galaxies that form the mostmassive sub-structure.

Massive black holes interactions during the assembly of heavy sub-structures in the centre of galaxy clusters