Quasiconvex Subgroups of F_m x Z^n are Convex

Abstract

In this paper we analyze the action of a quasiconvex subgroup of F_m x Z^n on the convex hull of its orbit and we show that this action is cocompact. Further, using our techniques, we obtain complete description of the quasiconvex subgroups of F_m x Z^n.

An expanded version will be posted at a later time

References in corpus (2)

• Local convexity in CAT(κ)-spaces
• Solutions to two open problems in geometric group theory

Cited by in corpus (1)

• Algorithmic problems for free-abelian times free groups