Regular geodesic languages and the falsification by fellow traveler property

Mathematics – Group Theory

Scientific paper

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

Scientific paper

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.

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