V. V. Vershinin, “On the singular braid monoid”, Algebra i Analiz, 2009, Volume 21, Issue 5,Pages <nobr>19

This article is cited in 7 papers

Research Papers

On the singular braid monoid

V. V. Vershinin^ab

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
^b Département des Sciences Mathématiques, Université Montpellier II, Montpellier, France

Abstract: Garside's results and the existence of the greedy normal form for braids are shown to be true for the singular braid monoid. An analog of the presentation of J. S. Birman, K. H. Ko, and S. J. Lee for the classical braid group is also obtained for this monoid.

MSC: Primary 20F36; Secondary 20F38

Received: 02.09.2008