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arXiv · 2401.15748

Congruence subgroups of braid groups and crystallographic quotients. Part I

Paolo Bellingeri·Celeste Damiani·Oscar Ocampo·Charalampos Stylianakis
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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.

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Paolo Bellingeri, Celeste Damiani, Oscar Ocampo, Charalampos Stylianakis. 2024-01-28. Congruence subgroups of braid groups and crystallographic quotients. Part I. https://doi.org/10.1017/s1446788724000089

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