Retraction to a parabolic subgroup and applications
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914947042115584 |
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| author | Digne, François Godelle, Eddy Michel, Jean |
| author_facet | Digne, François Godelle, Eddy Michel, Jean |
| contents | We continue the study of the retraction from an Artin group to a standard parabolic subgroup introduced by Blufstein, Charney, Paris and the second author. Using right and left retractions we obtain new results on minimal parabolic subgroups, intersection of parabolic subgroups, double cosets with respect to parabolic subgroups and conjugacy classes in Artin groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07459 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Retraction to a parabolic subgroup and applications Digne, François Godelle, Eddy Michel, Jean Group Theory We continue the study of the retraction from an Artin group to a standard parabolic subgroup introduced by Blufstein, Charney, Paris and the second author. Using right and left retractions we obtain new results on minimal parabolic subgroups, intersection of parabolic subgroups, double cosets with respect to parabolic subgroups and conjugacy classes in Artin groups. |
| title | Retraction to a parabolic subgroup and applications |
| topic | Group Theory |
| url | https://arxiv.org/abs/2407.07459 |