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Nuclear star clusters that surround supermassive black holes (SMBHs) ingalactic nuclei are thought to contain large numbers of black holes (BHs) andneutron stars (NSs), a fraction of which form binaries and could merge byKozai-Lidov oscillations (KL). Triple compact objects are likely to be present,given what is known about the multiplicity of massive stars, whose life endseither as a NS or a BH. In this paper, we present a new possible scenario formerging BHs and NSs in galactic nuclei. We study the evolution of a tripleblack hole (BH) or neutron star (NS) system orbiting an SMBH in a galacticnucleus by means of direct high-precision $N$-body simulations, includingPost-Newtonian terms. We find that the four-body dynamical interactions canincrease the KL angle window for mergers compared to the binary case and makeBH and NS binaries merge on shorter timescales. We show that the mergerfraction can be up to $\sim 5$--$8$ times higher for triples than for binaries.Therefore, even if the triple fraction is only $\sim 10\%$--$20\%$ of thebinary fraction, they could contribute to the merger events observed byLIGO/VIRGO in comparable numbers.

Black hole and neutron star mergers in Galactic Nuclei: the role of triples