English

Equations in Burnside groups

Group Theory 2024-08-20 v2

Abstract

This article is a first step in the study of equations in periodic groups. As an application, we study the structure of periodic quotients of hyperbolic groups. We investigate for instance the Hopf and co-Hopf properties, the isomorphism problem, the existence of free splittings, etc. We also consider the automorphism group of such periodic groups.

Keywords

Cite

@article{arxiv.2112.07409,
  title  = {Equations in Burnside groups},
  author = {Rémi Coulon and Zlil Sela},
  journal= {arXiv preprint arXiv:2112.07409},
  year   = {2024}
}

Comments

129 pages

R2 v1 2026-06-24T08:16:48.240Z