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

Kleiner, Bruce

doi:10.1090/S0894-0347-09-00658-4

A new proof of Gromov’s theorem on groups of polynomial growth
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by Bruce Kleiner;

J. Amer. Math. Soc. 23 (2010), 815-829

DOI: https://doi.org/10.1090/S0894-0347-09-00658-4

Published electronically: December 28, 2009

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Abstract:

We give a new proof of Gromov’s theorem that any finitely generated group of polynomial growth has a finite index nilpotent subgroup. The proof does not rely on the Montgomery-Zippin-Yamabe structure theory of locally compact groups.

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