A nilpotent Freiman dimension lemma
Combinatorics
2011-12-20 v1 Group Theory
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.
Keywords
Cite
@article{arxiv.1112.4174,
title = {A nilpotent Freiman dimension lemma},
author = {Emmanuel Breuillard and Ben Green and Terence Tao},
journal= {arXiv preprint arXiv:1112.4174},
year = {2011}
}
Comments
8 pages, submitted to special volume of EJC in honour of Yahya Ould Hamidoune