Algebraic and Geometric Topology 5 (2005), paper no. 8, pages 129-134.

Regular geodesic languages and the falsification by fellow traveler property

Murray Elder

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

AMS subject classification. Primary: 20F65. Secondary: 20F10, 68Q80.

DOI: 10.2140/agt.2005.5.129

E-print: arXiv:math.GR/0411168

Submitted: 21 September 2004. Accepted: 25 February 2005. Published: 10 March 2005.

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Murray Elder
School of Mathematics and Statistics, University of St Andrews
North Haugh, St Andrews, Fife, KY16 9SS, Scotland
Email: murray@mcs.st-and.ac.uk
URL: http://www-groups.mcs.st-andrews.ac.uk/~murray/

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