Results 91 to 100 of about 5,399,954 (113)

Artin braid groups and homotopy groups

open access: yesProceedings 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   +3 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
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

ARTIN COVERS OF THE BRAID GROUPS

open access: yesJournal of Knot Theory and Its Ramifications, 2012
Computation of fundamental groups of Galois covers recently led to the construction and analysis of Coxeter covers of the symmetric groups [L. H. Rowen, M. Teicher and U. Vishne, Coxeter covers of the symmetric groups, J. Group Theory8 (2005) 139–169]. In this paper we consider analog covers of Artin's braid groups, and completely describe the induced ...
Amram, Meirav   +2 more
openaire   +2 more sources

Torsion in the quotient group of the Artin-Brieskorn braid group and regular springer numbers

Functional Analysis and Its Applications, 1996
Let \(W\) be a finite Coxeter group acting on the complex vector space \(V\) and denote by \(Y\) the complement of the set of fixed points of elements of \(W\). Then the fundamental group of \(Y\) is the generalized Artin-Brieskorn braid group \(B(W)\) [\textit{E. Brieskorn}, Invent. Math. 12, 57-61 (1971; Zbl 0204.56502)]. We obtain an action of \(W\)
O V Shvartsman
exaly   +2 more sources

Conjugacy problem for braid groups and Garside groups [PDF]

open access: yesJournal of Algebra, 2003
We present a new algorithm to solve the conjugacy problem in Artin braid groups, which is faster than the one presented by Birman, Ko and Lee. This algorithm can be applied not only to braid groups, but to all Garside groups (which include finite type ...
Juan Gonzalez-Meneses, Nuno Franco
exaly   +3 more sources

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