Partial periodic quotients of groups acting on a hyperbolic on a hyperbolic space

Quotient partiellement périodique de groupes agissant sur une espace hyperbolique

Rémi Coulon (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

In this article, we construct partial periodic quotients of groups which have a non-elementary acylindrical action on a hyperbolic space. In particular,we provide infinite quotients of mapping class groups where a fixed power of every homeomorphism is identified with a periodic or reducible element.

Mots clés: Small cancellation theory; Mapping class groups; Hyperbolic spaces; periodic quotients

Domaines: Théorie des groupes [math.GR]

Rémi Coulon. Partial periodic quotients of groups acting on a hyperbolic on a hyperbolic space. Annales de l'Institut Fourier, 2016, 66 (5), pp.1773 - 1857. ⟨10.5802/aif.3050⟩. ⟨hal-01398797⟩