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We prove a Rademacher-type theorem for Lipschitz mappings from a subset of aCarnot group to a Banach homogeneous group, equipped with a suitably weakenedRadon-Nikodym property. We provide a metric area formula that applies to thesemappings and more generally to all almost everywhere metrically differentiableLipschitz mappings defined on a Carnot group.

Radon-Nikodym property and area formula for Banach homogeneous group targets