Geodesic
Garside groups have the falsification by fellow-traveller property
Derek F. Holt1
1University of Warwick, Coventry, United Kingdom
Groups, geometry, and dynamics, Tome 4 (2010) no. 4, pp. 777-784

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DOI

A group G is said to have the falsification by fellow-traveller property (FFTP) with respect to a specified finite generating set X if, for some constant K, all non-geodesic words over X∪X−1K-fellow-travel with G-equivalent shorter words. This implies, in particular, that the set of all geodesic words over X∪X−1 is regular. We show that Garside groups with appropriate generating set satisfy FFTP.
DOI : 10.4171/ggd/105
Classification : 20-XX, 00-XX
Mots-clés : Garside groups, braid groups, Artin groups, geodesics, regular sets, fellow-traveller property

Derek F. Holt  1

1 University of Warwick, Coventry, United Kingdom 
Derek F. Holt. Garside groups have the falsification by fellow-traveller property. Groups, geometry, and dynamics, Tome 4 (2010) no. 4, pp. 777-784. doi: 10.4171/ggd/105
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