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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Accesso online: | https://arxiv.org/abs/2603.16234 |
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| _version_ | 1866912972019859456 |
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| author | Wang, Ke Zhang, Qiang |
| author_facet | Wang, Ke Zhang, Qiang |
| contents | For a surface group $π_1(Σ_g)=\langle c_1,\dots , c_{2g}\mid c_1\cdots c_{2g}c_1^{-1}\cdots c_{2g}^{-1}\rangle$ with genus $g\geq 2$, we provide an explicit bound $n-1\leq \mathrm{CL}(2n)=\mathrm{CL}(2n+1)\leq n+8g-1$ for the conjugator length function $\mathrm{CL}:\mathbb N\to\mathbb N$ of $π_1(Σ_g)$ via a detailed analysis of conjugation reductions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_16234 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An Explicit Bound for the Conjugator Length Function of a Surface Group Wang, Ke Zhang, Qiang Group Theory Geometric Topology 20F65, 20F10 For a surface group $π_1(Σ_g)=\langle c_1,\dots , c_{2g}\mid c_1\cdots c_{2g}c_1^{-1}\cdots c_{2g}^{-1}\rangle$ with genus $g\geq 2$, we provide an explicit bound $n-1\leq \mathrm{CL}(2n)=\mathrm{CL}(2n+1)\leq n+8g-1$ for the conjugator length function $\mathrm{CL}:\mathbb N\to\mathbb N$ of $π_1(Σ_g)$ via a detailed analysis of conjugation reductions. |
| title | An Explicit Bound for the Conjugator Length Function of a Surface Group |
| topic | Group Theory Geometric Topology 20F65, 20F10 |
| url | https://arxiv.org/abs/2603.16234 |