The study of distant galaxy groups and clusters at the peak epoch of star formation is limited by the lack of a statistically and homogeneously selected and spectroscopically confirmed sample. Recent discoveries of concentrated starburst activities in cluster cores have opened a new window to hunt for these structures based on their integrated IR luminosities. Here, we carry out a large NOEMA (NOrthern Extended Millimeter Array) program targeting a statistical sample of infrared-luminous sources associated with overdensities of massive galaxies at $z$\,>\,2, the Noema formIng Cluster survEy (NICE). We present the first result from the ongoing NICE survey, a compact group at $z$\,=\,3.95 in the Lockman Hole field (LH-SBC3), confirmed via four massive star $\,gtrsim odot $) galaxies detected in the CO(4-3) and CI odot odot $/yr. In addition, the most massive galaxy hosts a radio-loud active galactic nucleus with $L_ 1.4GHz, rest $\,=\,3.0\,times $.
The discovery of LH-SBC3 demonstrates the feasibility of our method to efficiently identify high-$z$ compact groups or cluster cores undergoing formation. The existence of these starbursting cluster cores up to $z$\,sim \,$4$ provides critical insights into the mass assembly history of the central massive galaxies in clusters.