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We establish that standard arithmetic subgroups of a special orthogonal group${\rm SO}(1,n)$ are conjugacy separable. As an application we deduce thisproperty for unit groups of certain integer group rings. We also prove thatfinite quotients of group of units of any of these group rings determines theoriginal group ring.

Aritmethic lattices of $\SO(1,n)$ and units of group rings