Minimal generating set of cactus groups
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866915559448248320 |
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| author | Godelle, Eddy |
| author_facet | Godelle, Eddy |
| contents | We prove that the lower central series of the cactus group associated with a non commutative Coxeter group never stabilizes. We also compute a minimal presentation in terms of generators for the cactus group associated with a finite Coxeter groups, except in type E. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_15462 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Minimal generating set of cactus groups Godelle, Eddy Group Theory We prove that the lower central series of the cactus group associated with a non commutative Coxeter group never stabilizes. We also compute a minimal presentation in terms of generators for the cactus group associated with a finite Coxeter groups, except in type E. |
| title | Minimal generating set of cactus groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2510.15462 |