Product set estimates for non-commutative groups
Combinatorics
2011-10-27 v3
Abstract
We develop the Pl\"unnecke-Ruzsa and Balog-Szemer\'edi-Gowers theory of sum set estimates in the non-commutative setting, with discrete, continuous, and metric entropy formulations of these estimates. We also develop a Freiman-type inverse theorem for a special class of 2-step nilpotent groups, namely the Heisenberg groups with no 2-torsion in their centre.
Cite
@article{arxiv.math/0601431,
title = {Product set estimates for non-commutative groups},
author = {Terence Tao},
journal= {arXiv preprint arXiv:math/0601431},
year = {2011}
}
Comments
38 pages, no figures. Some corrections