We discuss fine lower estimates on the growth function of any sub-semigroup in a given periodic quotient of a torsion-free hyperbolic group, obtained jointly with R. Coulon. This generalises results of Chang, Razborov and Safin in free groups. In the introductory part, we explain the result of Safin in free groups: there is a uniform constant \(b>0\) such that for any subset \(U\) of a non-abelian free group, \(|U^3|> b |U|^2\) unless \(U\) is a subset of an infinite cyclic subgroup.
Product set growth in Burnside groups
25.11.2025 15:00 - 16:30
Organiser:
G. Arzhantseva, Ch. Cashen
Location: