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

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.

Cited by in corpus (2)

• Survey on geometric group theory
• On the end depth and ends of groups