On the quasiconvexity of the fixed subgroup of endomorphisms of relatively hyperbolic groups

Abstract

We prove that for any finitely generated relatively hyperbolic group G and any symmetric endomorphism f of G with relatively quasiconvex image, Fixf is relatively quasiconvex subgroup of G.

This paper has been withdrawn by the authors due to a mistake in the proof of Theorem 1

References in corpus (1)

• Blowing up and down compacta with geometrically finite convergence actions of a group