Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2403.02562 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866917604493361152 |
|---|---|
| author | Burillo, José Cleary, Sean Nucinkis, Brita |
| author_facet | Burillo, José Cleary, Sean Nucinkis, Brita |
| contents | We describe standard forms for elements of the higher-dimensional Thompson groups $nV$ arising from gridding subdivision processes. These processes lead to standard normal form descriptions for elements in these groups, and sizes of these standard forms estimate the word length with respect to finite generating sets. These gridded forms lead to standard algebraic descriptions as well, with respect to the both infinite and finite generating sets for these groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_02562 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Grid diagrams for higher-dimensional Thompson's groups Burillo, José Cleary, Sean Nucinkis, Brita Group Theory 20F65 20F05 20E32 We describe standard forms for elements of the higher-dimensional Thompson groups $nV$ arising from gridding subdivision processes. These processes lead to standard normal form descriptions for elements in these groups, and sizes of these standard forms estimate the word length with respect to finite generating sets. These gridded forms lead to standard algebraic descriptions as well, with respect to the both infinite and finite generating sets for these groups. |
| title | Grid diagrams for higher-dimensional Thompson's groups |
| topic | Group Theory 20F65 20F05 20E32 |
| url | https://arxiv.org/abs/2403.02562 |