A new proof of Gromov's theorem on groups of polynomial growth

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/143190We give a new proof of Gromov's theorem that any finitely generated group of polynomial growth has a finite index nilpotent subgroup. Unlike the original proof, it does not rely on the Montgomery-Zippin-Yamabe structure theory of locally compact groups.Group TheoryDifferential GeometryMetric Geometry20F65; 20F69; 20F67; 20F18A new proof of Gromov's theorem on groups of polynomial growthtext