Congruence subgroups of braid groups and crystallographic quotients. Part II

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 $B_3$, showing in particular that corresponding quotients are almost crystallographic.

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Publication Details

Journal
Communications in Algebra
Published
2026-05-22
DOI
https://doi.org/10.1080/00927872.2026.2666600
Primary Topic
Geometric and Algebraic Topology
Type
preprint
Field-Weighted Citation Impact
0.00

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preprint

Congruence subgroups of braid groups and crystallographic quotients. Part II

Oscar Ocampo, Céleste Damiani, Charalampos Stylianakis, Paolo Bellingeri
Communications in Algebra
Geometric and Algebraic Topology
preprint

Congruence subgroups of braid groups and crystallographic quotients. Part II

Oscar Ocampo, Céleste Damiani, Charalampos Stylianakis, Paolo Bellingeri
preprint en

Abstract

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 $B_3$, showing in particular that corresponding quotients are almost crystallographic.

Communications in Algebra
Universidade Federal da Bahia (BR), Centre National de la Recherche Scientifique (FR), Italian Institute of Technology (IT), Normandie Université (FR), Laboratoire de Mathématiques Blaise Pascal (FR), Laboratoire de Mathématiques Nicolas Oresme, University of the Aegean (GR)
Istituto Nazionale di Alta Matematica "Francesco Severi", Agence Nationale de la Recherche, Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Conselho Nacional de Desenvolvimento Científico e Tecnológico, Université de Caen Normandie, Région Normandie, Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni
Openalex Percentile: Top 97%
Geometric and Algebraic Topology
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