English

Product set growth in Burnside groups

Group Theory 2022-11-04 v2

Abstract

Given a periodic quotient of a torsion-free hyperbolic group, we provide a fine lower estimate of the growth function of any sub-semi-group. This generalizes results of Razborov and Safin for free groups.

Keywords

Cite

@article{arxiv.2102.10885,
  title  = {Product set growth in Burnside groups},
  author = {Rémi Coulon and Markus Steenbock},
  journal= {arXiv preprint arXiv:2102.10885},
  year   = {2022}
}

Comments

50 pages, modified definition of strongly reduced subsets

R2 v1 2026-06-23T23:23:30.429Z