Product set growth in Burnside groups
arXiv:2102.10885 · doi:10.5802/jep.187
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.
arXiv comment50 pages, modified definition of strongly reduced subsets
References in corpus (9)
- Small cancellation theory and Burnside problem
- On the joint spectral radius for isometries of non-positively curved spaces and uniform growth
- Partial periodic quotient of groups acting on a hyperbolic space
- Product set growth in groups and hyperbolic geometry
- Growth of periodic quotients of hyperbolic groups
- Powers of sets in free groups
- A criterion for detecting trivial elements of Burnside groups
- Infinite periodic groups of even exponents
- Explicit Helfgott type growth in free products and in limit groups