About presentations of braid groups and their generalizations

V. V. Vershinin. "About presentations of braid groups and their generalizations." Banach Center Publications 100.1 (2014): 235-271. <http://eudml.org/doc/281659>.

@article{V2014,
abstract = {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.},
author = {V. V. Vershinin},
journal = {Banach Center Publications},
keywords = {braid groups; presentations; inverse braid monoids; Artin-Brieskorn groups; singular braid monoids; word problem; conjugacy problem},
language = {eng},
number = {1},
pages = {235-271},
title = {About presentations of braid groups and their generalizations},
url = {http://eudml.org/doc/281659},
volume = {100},
year = {2014},
}

TY - JOUR
AU - V. V. Vershinin
TI - About presentations of braid groups and their generalizations
JO - Banach Center Publications
PY - 2014
VL - 100
IS - 1
SP - 235
EP - 271
AB - 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.
LA - eng
KW - braid groups; presentations; inverse braid monoids; Artin-Brieskorn groups; singular braid monoids; word problem; conjugacy problem
UR - http://eudml.org/doc/281659
ER -