Patterns theory and geodesic automatic structure for a class of groups

Abstract

We introduce a theory of "patterns" in order to study geodesics in a certain class of group presentations. Using patterns we show that there does not exist a geodesic automatic structure for certain group presentations, and that certain group presentations are almost convex.

Appeared in 2003. I am putting all my past papers on arxiv

References in corpus (1)

• Automatic structures, rational growth and geometrically finite hyperbolic groups

Cited by in corpus (3)

• Regular geodesic languages and the falsification by fellow traveler property
• The loop shortening property and almost convexity
• A non-Hopfian almost convex group