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Regular geodesic languages and the falsification by fellow traveler property. (English) Zbl 1076.20030
Summary: 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.

MSC:
20F65 Geometric group theory
20F10 Word problems, other decision problems, connections with logic and automata (group-theoretic aspects)
20F05 Generators, relations, and presentations of groups
68Q70 Algebraic theory of languages and automata
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References:
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