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We prove the local minimality of halfspaces in Carnot groups for a class ofnonlocal functionals usually addressed as nonlocal perimeters. Moreover, in aclass of Carnot groups in which the De Giorgi's rectifiability Theorem holds,we provide a lower bound for the $\Gamma$-liminf of the rescaled energy interms of the horizontal perimeter.

Local minimizers and Gamma-convergence for nonlocal perimeters in Carnot Groups