P. Bellingeri

collaborators

3 papers

math.GR2025

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 $B_{n} [m]$ and $N_{n} (I ¨ _{1}^{m})$ the normal closure of $I ¨ _{1}^{m}$ , where $I ¨ _{1}$ is the classical generator of…

math.GR2025

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 $B_{3}$ , sh…

math.GR2024

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…