Infinite periodic groups of even exponents

Rémi Coulon (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

We give a new proof that free Burnside groups of sufficiently large even exponents are infinite. The method can also be used to study (partially) periodic quotients of any group which admits an action on a hyperbolic space satisfying a weak form of acylindricity.

Mots clés: periodic groups; geometric group theory; Burnside groups; small cancellation theory; hyperbolic geometry

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

Rémi Coulon. Infinite periodic groups of even exponents. 2018. ⟨hal-01898778v1⟩