Equations in Burnside groups

Rémi Coulon (1) , Zlil Sela

1 IRMAR - Institut de Recherche Mathématique de Rennes

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.

Domaines: Géométrie métrique [math.MG]; Topologie géométrique [math.GT]; Théorie des groupes [math.GR]

Rémi Coulon, Zlil Sela. Equations in Burnside groups. 2021. ⟨hal-03481537⟩