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Regular geodesic languages and the falsification by fellow traveler property

Murray Elder
Algebraic & Geometric Topology 5 (2005) 129–134
DOI: 10.2140/agt.2005.5.129

arXiv: math.GR/0411168
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.

Keywords
Regular language, falsification by fellow traveler property
Mathematical Subject Classification 2000
Primary: 20F65
Secondary: 20F10, 68Q80
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Publication
Received: 21 September 2004
Accepted: 25 February 2005
Published: 10 March 2005
Authors
Murray Elder
School of Mathematics and Statistics
University of St Andrews
North Haugh
St Andrews
Fife
KY16 9SS
Scotland
http://www-groups.mcs.st-andrews.ac.uk/~murray/