Stable reflection length in Coxeter groups
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915220940652544 |
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| author | Fournier-Facio, Francesco Lotz, Marco Marquis, Timothée |
| author_facet | Fournier-Facio, Francesco Lotz, Marco Marquis, Timothée |
| contents | We introduce stable reflection length in Coxeter groups, as a way to study the asymptotic behaviour of reflection length. This creates connections to other well-studied stable length functions in groups, namely stable commutator length and stable torsion length. As an application, we give a complete characterisation of elements whose reflection length is unbounded on powers. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_00229 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stable reflection length in Coxeter groups Fournier-Facio, Francesco Lotz, Marco Marquis, Timothée Group Theory We introduce stable reflection length in Coxeter groups, as a way to study the asymptotic behaviour of reflection length. This creates connections to other well-studied stable length functions in groups, namely stable commutator length and stable torsion length. As an application, we give a complete characterisation of elements whose reflection length is unbounded on powers. |
| title | Stable reflection length in Coxeter groups |
| topic | Group Theory |
| url | https://arxiv.org/abs/2504.00229 |