We performed a series of direct N-body simulations with the aim to follow the
dynamical evolution of a galaxy cluster (GC) (Mclus​≃1014M⊙​) in different environment. The results show the formation of heavy
sub-structures in the cluster centre in consequence of multiple merging among
the innermost galaxies. Moreover we investigate the dynamics of super-massive
black holes (SMBHs) residing in the centre of galaxies that form the most
massive sub-structure.Comment: 2 pages, 3 figures. To be published in the proceedings of the
conference Cosmic-Lab, Modest 201