Geodesic
Braids: generalizations, presentations and algorithmic properties
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 3 (2006), pp. 338-341.

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Classical braid groups admit several types of presentations. The analogues of these presentations are obtained for the genralizations of braid groups. Garside algorithm for the word problem also works for the singular braid monoid. 
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V. Vershinin. Braids: generalizations, presentations and algorithmic properties. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 3 (2006), pp. 338-341. http://geodesic.mathdoc.fr/item/SEMR_2006_3_a39/

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