Geodesic
Regular geodesic languages and the falsification by fellow traveler property
Elder, Murray1
1School of Mathematics and Statistics, University of St Andrews, North Haugh, St Andrews, Fife, KY16 9SS, Scotland
Algebraic and Geometric Topology, Tome 5 (2005) no. 1, pp. 129-134
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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.

DOI : 10.2140/agt.2005.5.129
Keywords: Regular language, falsification by fellow traveler property

Elder, Murray  1

1 School of Mathematics and Statistics, University of St Andrews, North Haugh, St Andrews, Fife, KY16 9SS, Scotland 
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Elder, Murray. Regular geodesic languages and the falsification by fellow traveler property. Algebraic and Geometric Topology, Tome 5 (2005) no. 1, pp. 129-134. doi: 10.2140/agt.2005.5.129

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[4] M J Elder, A non–Hopfian almost convex group, J. Algebra 271 (2004) 11

[5] W D Neumann, M Shapiro, Automatic structures, rational growth, and geometrically finite hyperbolic groups, Invent. Math. 120 (1995) 259

[6] D Rebbechi, Algorithmic Properties of Relatively Hyperbolic Groups, PhD thesis, Rutgers University (2003)

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