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Results on the singular extension of Artin groups and virtual braid groups

open access: yes, 2020
This thesis offers to study two objects related to singular braid monoids, the desingularization map and the family of Vassiliev invariants, in the respective framework of the singular Artin monoids and the singular virtual braid monoids. In the first chapter, we recall the definitions of these two objects in their original setting, namely the setting ...
openaire   +1 more source

Artin braid groups and homotopy groups

Proceedings of the London Mathematical Society, 2009
We study the Brunnian subgroups and the boundary Brunnian subgroups of the Artin braid groups. The general higher homotopy groups of the sphere are given by mirror symmetric elements in the quotient groups of the Artin braid groups modulo the boundary Brunnian braids, as well as given as a summand of the center of the quotient groups of Artin pure ...
Jie Wu
exaly   +2 more sources

Finite Hurwitz braid group actions for Artin groups

Israel Journal of Mathematics, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stephen Humphries, Humphries Stephen P
exaly   +2 more sources

Examples of Large Centralizers in the Artin Braid Groups

Geometriae Dedicata, 2004
N. Franco and J. González-Meneses made the following conjecture: The normalizer of an element of the Artin braid group \(B_n\) on \(n\) strings is generated by no more than \(n-1\) elements. The `normalizer' of an element of a group is defined as the subgroup of all elements commuting with it; this subgroup is often also called the `centralizer' of the
Nikolai V Ivanov
exaly   +2 more sources

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