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math.GRDec 2, 2007
5
citations (OpenAlex)
authors
  • Bruce Kleiner
institutions
  • Courant Institute of Mathematical Sciences
arXiv abstractPDF
paper

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

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.

Cited by in corpus (3)

  • Survey on geometric group theory
  • On Bounded Packing in Polycyclic Groups
  • On the end depth and ends of groups
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