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Congruence subgroups of braid groups and crystallographic quotients. Part I

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arxiv 2401.15748 v2 pith:TCOXZDR3 submitted 2024-01-28 math.GR math.GT

Congruence subgroups of braid groups and crystallographic quotients. Part I

classification math.GR math.GT
keywords braidgroupscongruencecrystallographicpartquotientssomebelonging
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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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