Congruence subgroups of braid groups and crystallographic quotients. Part I
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866912291441606656 |
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| author | Bellingeri, Paolo Damiani, Celeste Ocampo, Oscar Stylianakis, Charalampos |
| author_facet | Bellingeri, Paolo Damiani, Celeste Ocampo, Oscar Stylianakis, Charalampos |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_15748 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Congruence subgroups of braid groups and crystallographic quotients. Part I Bellingeri, Paolo Damiani, Celeste Ocampo, Oscar Stylianakis, Charalampos Group Theory Geometric Topology Primary 20F36, Secondary 20H15, 20F65, 20F05 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. |
| title | Congruence subgroups of braid groups and crystallographic quotients. Part I |
| topic | Group Theory Geometric Topology Primary 20F36, Secondary 20H15, 20F65, 20F05 |
| url | https://arxiv.org/abs/2401.15748 |