Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6424336 | European Journal of Combinatorics | 2013 | 6 Pages |
Abstract
We prove that a K-approximate subgroup of an arbitrary torsion-free nilpotent group can be covered by a bounded number of cosets of a nilpotent subgroup of bounded rank, where the bounds are explicit and depend only on K. The result can be seen as a nilpotent analogue to Freiman's dimension lemma.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Emmanuel Breuillard, Ben Green, Terence Tao,