Results 161 to 170 of about 5,391,081 (192)

On a conjecture in Artin groups

International Journal of Algebra and Computation, 2021
It is conjectured that an irreducible Artin group which is of infinite type has trivial center. The conjecture is known to be true for two-dimensional Artin groups and for a few other types of Artin groups. In this work, we show that the conjecture holds true for Artin groups which satisfy a condition stronger than being of infinite type. We use small
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Homology of some Artin and twisted Artin Groups

Journal of K-Theory, 2009
AbstractWe begin the paper with a simple formula for the second integral homology of a range of Artin groups. The formula is derived from a polytopal classifying space. We then introduce the notion of atwisted Artin groupand obtain polytopal classifying spaces for a range of such groups.
Clancy, Maura, Ellis, Graham
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On Generalized Homology of Artin Groups

Journal of Mathematical Sciences, 2003
Generalized braid groups \(\text{Br}({\mathcal D}_\infty)\), \(\text{Br}({\mathcal C}_m)\) and \(\text{Br}^g_\infty\) (braids of an infinite number of strings in a genus \(g\) handlebody) are considered and the Morava \(K\)-theory \(K(n)_*(\text{Br}({\mathcal D}_\infty))\), \(K(n)_*(\text{Br}^g_\infty)\), the Brown-Peterson homology \(\text{BP}_*(\text{
Broto, C., Vershinin, V. V.
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Rigidity of Coxeter Groups and Artin Groups

Geometriae Dedicata, 2002
A Coxeter group is called rigid if it cannot be defined by two nonisomorphic diagrams. The authors show that an example of a nonrigid Coxeter group belongs to a ``diagram twisting operation'' and that Coxeter groups, belonging to twisted diagrams, are isomorphic. A Coxeter system \((W,S)\) is called reflection rigid, if every Coxeter generating set \(S'
Brady, Noel, McCammond, Jonathan P., Mühlherr, Bernhard, Neumann, Walter D.   +3 more
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ORDERINGS ON ARTIN–TITS GROUPS

International Journal of Algebra and Computation, 2008
We prove that a construction similar to that described by Dehornoy in the case of braids is possible for every Artin–Tits group, yielding a partial ordering. A necessary condition for this partial order to be linear is that the associated Coxeter graph consists only of disjoint lines. So, in particular, type D is dismissed.
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ARTIN COVERS OF THE BRAID GROUPS

Journal 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, Lawrence, Ruth, Vishne, Uzi   +2 more
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On commutator subgroups of Artin groups

Doklady Mathematics, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Geometric Invariants for Artin Groups

Proceedings of the London Mathematical Society, 1997
The Bieri-Neumann-Strebel invariant of a finitely generated group \(G\) determines, among other things, whether or not a given normal subgroup \(N\), with \(G/N\) abelian, is finitely generated. We examine the BNS-invariants of ``Pride groups'', a large class of groups containing the Artin groups; in particular we establish a criterion which implies ...
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Fusion in Artin Groups I

Journal of the London Mathematical Society, 1991
See the preview in Zbl 0699.20029.
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On the Σ-invariants of Artin groups

Topology and Its Applications, 2001
John Meier
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