arXiv:0710.4593 Abstract | arXiv Analytics

arXiv:0710.4593 [math.GR]Abstract References Reviews Resources

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

Published 2007-10-25, updated 2007-12-02Version 4

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.

Categories: math.GR, math.DG, math.MG

Subjects: 20F65, 20F69, 20F67, 20F18

Keywords: gromovs theorem, polynomial growth, finite index nilpotent subgroup, montgomery-zippin-yamabe structure theory, locally compact groups

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