21 citations · 37 across the 8 of their papers we have counts for
8 papers
Irreducible Coxeter groups
Luis Paris
We prove that a non-spherical irreducible Coxeter group is (directly) indecomposable and that a non-spherical and non-affine Coxeter group is strongly indecomposable in the sense t…
From braid groups to mapping class groups
Luis Paris
This paper is a survey of some properties of the braid groups and related groups that lead to questions on mapping class groups.
On a theorem of Artin, II
Nuno Franco, Luis Paris
This paper is a sequel of [A.M. Cohen, L. Paris, {\it On a theorem of Artin}, J. Group Theory {\bf 6} (2003), 421--441]. Let be an Artin group, let be its associated Coxete…
On singular Artin monoids
Eddy Godelle, Luis Paris
In this paper we study some combinatorial aspects of the singular Artin monoids. Firstly, we show that a singular Artin monoid can be presented as a semidirect product of a gr…
Artin groups of spherical type up to isomorphism
Luis Paris
We prove that two Artin groups of spherical type are isomorphic if and only if their defining Coxeter graphs are the same.
Birman's conjecture for singular braids on closed surfaces
Luis Paris
Let be a closed oriented surface of genus , let be the braid group of on strings, and let be the corresponding singular braid monoid. Our pur…