Growth in groups: ideas and perspectives
Group Theory
2015-02-12 v7 Combinatorics
Number Theory
Abstract
This is a survey of methods developed in the last few years to prove results on growth in non-commutative groups. These techniques have their roots in both additive combinatorics and group theory, as well as other fields. We discuss linear algebraic groups, with SL_2(Z/pZ) as the basic example, as well as permutation groups. The emphasis lies on the ideas behind the methods.
Keywords
Cite
@article{arxiv.1303.0239,
title = {Growth in groups: ideas and perspectives},
author = {H. A. Helfgott},
journal= {arXiv preprint arXiv:1303.0239},
year = {2015}
}
Comments
60 pages. This is the final version, incorporating corrections from the proofreaders. To appear in Bull. Am. Math. Soc