Homology growth of polynomially growing mapping tori
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866917132512526336 |
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| author | Andrew, Naomi Guerch, Yassine Hughes, Sam Kudlinska, Monika |
| author_facet | Andrew, Naomi Guerch, Yassine Hughes, Sam Kudlinska, Monika |
| contents | We prove that residually finite mapping tori of polynomially growing automorphisms of hyperbolic groups, groups hyperbolic relative to finitely many virtually polycyclic groups, right-angled Artin groups (when the automorphism is untwisted), and right-angled Coxeter groups have the cheap rebuilding property of Abert, Bergeron, Fraczyk, and Gaboriau. In particular, their torsion homology growth vanishes for every Farber sequence in every degree. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_10410 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Homology growth of polynomially growing mapping tori Andrew, Naomi Guerch, Yassine Hughes, Sam Kudlinska, Monika Group Theory Geometric Topology Primary 20J05, Secondary 20E05, 20E08, 20E26, 20F28, 57M07 We prove that residually finite mapping tori of polynomially growing automorphisms of hyperbolic groups, groups hyperbolic relative to finitely many virtually polycyclic groups, right-angled Artin groups (when the automorphism is untwisted), and right-angled Coxeter groups have the cheap rebuilding property of Abert, Bergeron, Fraczyk, and Gaboriau. In particular, their torsion homology growth vanishes for every Farber sequence in every degree. |
| title | Homology growth of polynomially growing mapping tori |
| topic | Group Theory Geometric Topology Primary 20J05, Secondary 20E05, 20E08, 20E26, 20F28, 57M07 |
| url | https://arxiv.org/abs/2305.10410 |