Period growth and co-context-free groups
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866917210232979456 |
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| author | Bishop, Alex Bodart, Corentin Issini, Letizia Perego, Davide |
| author_facet | Bishop, Alex Bodart, Corentin Issini, Letizia Perego, Davide |
| contents | We study period growth in co-context-free groups, giving general results and looking at specific examples such as Thompson groups $T$ and $V$ and the Houghton groups $H_m$. Along the way, we give a refined upper bound on the word metric in Thompson $V$, as well as efficient algorithms to determine if elements of $V$ are torsion, and compute their order. We also adapt our algorithm to compute the rotation number of elements of $T$ and answer a question of D. Calegari. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_13058 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Period growth and co-context-free groups Bishop, Alex Bodart, Corentin Issini, Letizia Perego, Davide Group Theory We study period growth in co-context-free groups, giving general results and looking at specific examples such as Thompson groups $T$ and $V$ and the Houghton groups $H_m$. Along the way, we give a refined upper bound on the word metric in Thompson $V$, as well as efficient algorithms to determine if elements of $V$ are torsion, and compute their order. We also adapt our algorithm to compute the rotation number of elements of $T$ and answer a question of D. Calegari. |
| title | Period growth and co-context-free groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2601.13058 |