Distortion in graphs of groups and Rapid Decay classification of 3-manifold groups
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866914830360772608 |
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| author | Chatterji, Indira Gautero, François |
| author_facet | Chatterji, Indira Gautero, François |
| contents | The fundamental group of a closed irreducible 3-dimensional manifold has the Rapid Decay property if and only if it is not virtually Sol. This is proved by studying distortion of length functions in graphs of groups, and the stability of the Rapid Decay property in polynomially distorted graphs of groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_14803 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Distortion in graphs of groups and Rapid Decay classification of 3-manifold groups Chatterji, Indira Gautero, François Group Theory 20F65, 20F67, 20F38 The fundamental group of a closed irreducible 3-dimensional manifold has the Rapid Decay property if and only if it is not virtually Sol. This is proved by studying distortion of length functions in graphs of groups, and the stability of the Rapid Decay property in polynomially distorted graphs of groups. |
| title | Distortion in graphs of groups and Rapid Decay classification of 3-manifold groups |
| topic | Group Theory 20F65, 20F67, 20F38 |
| url | https://arxiv.org/abs/2401.14803 |