76 citations · 276 across the 44 of their papers we have counts for
50 papers
The braid group Bn is not a quotient of a quasi-Coxeter interval group of type Dn
Barbara Baumeister, Luis Paris, Sarah Rees
We prove that, for , an interval group associated with a proper quasi-Coxeter element of the Coxeter group of type admits no surjective homomorphism onto the braid g…
Endomorphisms of Artin groups of type D
Fabrice Castel, Luis Paris
In this paper we determine a classification of the endomorphisms of the Artin group of type for . In particular we determine its automorphism group and its…
The growth series of Dyer groups
Luis Paris, Olga Varghese
Graph products of cyclic groups and Coxeter groups are two families of groups that are defined by labeled graphs. The family of Dyer groups contains these both families and gives u…
Word problem and parabolic subgroups in Dyer groups
Luis Paris, Mireille Soergel
One can observe that Coxeter groups and right-angled Artin groups share the same solution to the word problem. On the other hand, in his study of reflection subgroups of Coxeter gr…
Narrow normal subgroups of Coxeter groups and of automorphism groups of Coxeter groups
Luis Paris, Olga Varghese
By definition, a group is called narrow if it does not contain a copy of a non-abelian free group. We describe the structure of finite and narrow normal subgroups in Coxeter groups…
Parabolic subgroups inside parabolic subgroups of Artin groups
Martin Axel Blufstein, Luis Paris
We prove that a parabolic subgroup contained in another parabolic subgroup of an Artin group is a parabolic subgroup of . This answers a question of Godelle which…