Forest-skein groups III: simplicity
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866911918012235776 |
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| author | Brothier, Arnaud Seelig, Ryan |
| author_facet | Brothier, Arnaud Seelig, Ryan |
| contents | An Ore forest-skein category provides three forest-skein groups equipped with a powerful diagrammatic calculus analogous to Richard Thompson's groups F,T,V. We investigate when forest-skein groups have simple derived subgroups and establish two characterisations: a dynamical one and a categorical one. We then construct two classes of examples. The first associates two finitely presented simple groups to every finite binary tree and the second associates two simple groups to every n-ary Higman-Thompson group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_09718 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Forest-skein groups III: simplicity Brothier, Arnaud Seelig, Ryan Group Theory Dynamical Systems An Ore forest-skein category provides three forest-skein groups equipped with a powerful diagrammatic calculus analogous to Richard Thompson's groups F,T,V. We investigate when forest-skein groups have simple derived subgroups and establish two characterisations: a dynamical one and a categorical one. We then construct two classes of examples. The first associates two finitely presented simple groups to every finite binary tree and the second associates two simple groups to every n-ary Higman-Thompson group. |
| title | Forest-skein groups III: simplicity |
| topic | Group Theory Dynamical Systems |
| url | https://arxiv.org/abs/2406.09718 |