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CONGRUENCE SUBGROUPS OF BRAID GROUPS AND CRYSTALLOGRAPHIC QUOTIENTS. PART I
Published online by Cambridge University Press: 13 September 2024
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.
- Type
- Research Article
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- Copyright
- © The Author(s), 2024. Published by Cambridge University Press on behalf of Australian Mathematical Publishing Association Inc.
Footnotes
The first author was partially supported by the ANR project AlMaRe (ANR-19-CE40-0001). The second author is a member of GNSAGA of INdAM, and was partially supported Leverhulme Trust research project grant ‘RPG-2018-029: Emergent Physics From Lattice Models of Higher Gauge Theory’. The third author would like to thank Laboratoire de Mathématiques Nicolas Oresme (Université de Caen Normandie) for their hospitality from August 2023 to January 2024, where part of this project was developed, and was partially supported by Capes/Programa Capes-Print/ Processo número 88887.835402/2023-00 and also by National Council for Scientific and Technological Development – CNPq through a Bolsa de Produtividade 305422/2022-7.
Communicated by Ben Martin
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