A periodicity theorem for acylindrically hyperbolic groups
Group Theory
2019-03-06 v2
Abstract
We generalize a well known periodicity lemma from the case of free groups to the case of acylindrically hyperbolic groups. This generalization will be used later to describe solutions of certain equations in acylindrically hyperbolic groups and to characterize verbally closed finitely generated acylindrically hyperbolic subgroups of finitely presented groups.
Cite
@article{arxiv.1805.05941,
title = {A periodicity theorem for acylindrically hyperbolic groups},
author = {Oleg Bogopolski},
journal= {arXiv preprint arXiv:1805.05941},
year = {2019}
}
Comments
17 pages, 5 figures. New: We proved that the function $f(r)$ in the main theorem is linear. Introduction is improved. arXiv admin note: text overlap with arXiv:1805.08071