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Approximate groups. I The torsion-free nilpotent case

Published online by Cambridge University Press:  02 June 2010

Emmanuel Breuillard
Affiliation:
Laboratoire de Mathématiques Université Paris-Sud 11, 91405 Orsay cedex, France (emmanuel.breuillard@math.u-psud.fr)
Ben Green
Affiliation:
Centre for Mathematical Sciences, Wilberforce Road, Cambridge CB3 0WA, UK (b.j.green@dpmms.cam.ac.uk)

Abstract

We describe the structure of ‘K-approximate subgroups’ of torsion-free nilpotent groups, paying particular attention to Lie groups.

Three other works, by Fisher et al., by Sanders and by Tao, have appeared that independently address related issues. We comment briefly on some of the connections between these papers.

Type
Research Article
Copyright
Copyright © Cambridge University Press 2010

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References

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