About presentations of braid groups and their generalizations

• Autorzy: V. V. Vershinin
• Języki publikacji: EN

Abstrakty

EN

In the paper we give a survey of rather new notions and results which generalize classical ones in the theory of braids. Among such notions are various inverse monoids of partial braids. We also observe presentations different from standard Artin presentation for generalizations of braids. Namely, we consider presentations with small number of generators, Sergiescu graph-presentations and Birman-Ko-Lee presentation. The work of V.~V.~Chaynikov on the word and conjugacy problems for the singular braid monoid in Birman-Ko-Lee generators is described as well.

Kategorie tematyczne

• 20M18: Inverse semigroups
• 20F36: Braid groups; Artin groups

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2014
• Tom: 100
• Numer: 1
• Strony: 235-271

Daty

wydano

2014

Twórcy

autor

V. V. Vershinin

• Département des Sciences Mathématiques, Université Montpellier II, Place Eugéne Bataillon, 34095 Montpellier cedex 5, France
• Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia

Identyfikatory

DOI

10.4064/bc100-0-14