Regular geodesic languages and the falsification by fellow traveler property

Abstract

We furnish an example of a finite generating set for a group that does not enjoy the falsification by fellow traveler property, while the full language of geodesics is regular.

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-8.abs.html

References in corpus (6)

• Automatic structures, rational growth and geometrically finite hyperbolic groups
• Algorithmic Properties of Relatively Hyperbolic Groups
• Finiteness and the falsification by fellow traveler property
• The loop shortening property and almost convexity
• A non-Hopfian almost convex group
• Patterns theory and geodesic automatic structure for a class of groups

Cited by in corpus (4)

• On groups whose geodesic growth is polynomial
• Geodesic growth in virtually abelian groups
• Counting subgraphs in fftp graphs with symmetry
• A virtually 2-step nilpotent group with polynomial geodesic growth