- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:04:59
Groups, Geometry, and Dynamics
Groups Geom. Dyn.
GGD
1661-7207
1661-7215
Group theory and generalizations
10.4171/GGD
http://www.ems-ph.org/doi/10.4171/GGD
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
4
2010
4
Garside groups have the falsification by fellow-traveller property
Derek
Holt
University of Warwick, COVENTRY, UNITED KINGDOM
Garside groups, braid groups, Artin groups, geodesics, regular sets, fellow-traveller property
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−1 K-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.
Group theory and generalizations
General
777
784
10.4171/GGD/105
http://www.ems-ph.org/doi/10.4171/GGD/105