A non-Hopfian almost convex group

Abstract

In this article we prove that an "isometric multiple HNN-extension" of a group satisfying the falsification by fellow traveler property is almost convex. As a corollary, Wise's example of a CAT(0) non-Hopfian group is Almost convex.

Appeared in 2004. I am putting all my past papers on arxiv

References in corpus (3)

• Automatic structures, rational growth and geometrically finite hyperbolic groups
• Finiteness and the falsification by fellow traveler property
• Patterns theory and geodesic automatic structure for a class of groups

Cited by in corpus (2)

• Regular geodesic languages and the falsification by fellow traveler property
• The loop shortening property and almost convexity