CONGRUENCE SUBGROUPS OF BRAID GROUPS AND CRYSTALLOGRAPHIC QUOTIENTS. PART I

Abstract 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 to congruence braid groups and we establish some (iso)-morphisms between crystallographic braid groups and corresponding quotients of congruence braid groups.

Authors

Oscar Ocampo (ORCID: https://orcid.org/0000-0002-4021-7859)
Céleste Damiani (ORCID: https://orcid.org/0000-0002-1990-6684)
Charalampos Stylianakis (ORCID: https://orcid.org/0000-0002-0993-9271)
Paolo Bellingeri (ORCID: https://orcid.org/0000-0002-3165-4627)

Institutions

Universidade Federal da Bahia (BR)
Centre National de la Recherche Scientifique (FR)
Italian Institute of Technology (IT)
Normandie Université (FR)
Université de Caen Normandie (FR)
University of the Aegean (GR)

Publication Details

Journal: Journal of the Australian Mathematical Society
Published: 2024-09-13
DOI: https://doi.org/10.1017/s1446788724000089
Citations: 1
Primary Topic: Quasicrystal Structures and Properties
Type: article
Field-Weighted Citation Impact: 0.12

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article

CONGRUENCE SUBGROUPS OF BRAID GROUPS AND CRYSTALLOGRAPHIC QUOTIENTS. PART I

Oscar Ocampo, Céleste Damiani, Charalampos Stylianakis, Paolo Bellingeri

Sep 13, 2024

1 citations

Journal of the Australian Mathematical Society

Quasicrystal Structures and Properties

0.12

article

CONGRUENCE SUBGROUPS OF BRAID GROUPS AND CRYSTALLOGRAPHIC QUOTIENTS. PART I

Oscar Ocampo, Céleste Damiani, Charalampos Stylianakis, Paolo Bellingeri

September 13, 2024article en

1 citations

Abstract

Abstract 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 to congruence braid groups and we establish some (iso)-morphisms between crystallographic braid groups and corresponding quotients of congruence braid groups.

Journal of the Australian Mathematical SocietyVol. 118(2)

Universidade Federal da Bahia (BR), Centre National de la Recherche Scientifique (FR), Italian Institute of Technology (IT), Normandie Université (FR), Université de Caen Normandie (FR), University of the Aegean (GR)

Openalex Percentile: Top 60%

Quasicrystal Structures and Properties

0.12

DOI Source OpenAlex

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CONGRUENCE SUBGROUPS OF BRAID GROUPS AND CRYSTALLOGRAPHIC QUOTIENTS. PART I — Oscar Ocampo, Céleste Damiani, et al. · Journal of the Australian Mathematical Society (2024) | TGRS Research Map | TGRS