34 citations · 111 across the 26 of their papers we have counts for
31 papers
Powers of half-twists and congruence subgroups of braid groups
Paolo Bellingeri, Celeste Damiani, Oscar Ocampo +1
In this work, we study the relationship between congruence subgroups and the normal closure of , where is the classical generator of $B…
Trickle groups
Paolo Bellingeri, Eddy Godelle, Luis Paris
A new family of groups, called trickle groups, is presented. These groups generalize right-angled Artin and Coxeter groups, as well as cactus groups. A trickle group is defined by…
Congruence subgroups of braid groups and crystallographic quotients. Part II
Paolo Bellingeri, Celeste Damiani, Oscar Ocampo +1
Following previous work on congruence subgroups and crystallographic braid groups, we study the lower central series of congruence braid groups related to the braid group , sh…
Congruence subgroups of braid groups and crystallographic quotients. Part I
Paolo Bellingeri, Celeste Damiani, Oscar Ocampo +1
This paper is the first of a two part series devoted to describing relations between congruence and crystallographic braid groups. We recall and introduce some elements belonging t…
Right-angled Artin groups are symmetric diagram groups
Paolo Bellingeri, Anthony Genevois, Neha Nanda
In this article, we show that, for every , the pure virtual twin group can be naturally described as a symmetric diagram group, a family of groups introduced by V…
Cactus groups, twin groups, and right-angled Artin groups
Paolo Bellingeri, Hugo Chemin, Victoria Lebed
Cactus groups Jn are currently attracting considerable interest from diverse mathematical communities. This work explores their relations to right-angled Coxeter groups, and in par…