Dehn functions of mapping tori of right-angled Artin groups
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2019
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| _version_ | 1866909394917130240 |
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| author | Pueschel, Kristen Riley, Timothy |
| author_facet | Pueschel, Kristen Riley, Timothy |
| contents | The algebraic mapping torus $M_Φ$ of a group $G$ with an automorphism $Φ$ is the HNN-extension of $G$ in which conjugation by the stable letter performs $Φ$. We classify the Dehn functions of $M_Φ$ in terms of $Φ$ for a number of right-angled Artin groups $G$, including all $3$-generator right-angled Artin groups and $F_k \times F_l$ for all $k,l \geq 2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1906_09368 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Dehn functions of mapping tori of right-angled Artin groups Pueschel, Kristen Riley, Timothy Group Theory 20F65, 20F36 The algebraic mapping torus $M_Φ$ of a group $G$ with an automorphism $Φ$ is the HNN-extension of $G$ in which conjugation by the stable letter performs $Φ$. We classify the Dehn functions of $M_Φ$ in terms of $Φ$ for a number of right-angled Artin groups $G$, including all $3$-generator right-angled Artin groups and $F_k \times F_l$ for all $k,l \geq 2$. |
| title | Dehn functions of mapping tori of right-angled Artin groups |
| topic | Group Theory 20F65, 20F36 |
| url | https://arxiv.org/abs/1906.09368 |