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

2007/10/25 by Kleiner, Bruce · 4 citations
#20F18 #20F65 #20F67 #20F69 #Differential Geometry (math.DG) #FOS: Mathematics #Group Theory (math.GR) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.0710.4593

Abstract

We 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.

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