Regular maps from the lamplighter to metabelian groups
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909075011272704 |
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| author | Gournay, Antoine Coz, Corentin Le |
| author_facet | Gournay, Antoine Coz, Corentin Le |
| contents | We prove that the lamplighter group admits an injective Lipschitz map to any finitely generated metabelian group which is not virtually nilpotent. This implies that finitely generated metabelian groups satisfy the ``analytically thin/analytically thick'' dichotomy recently introduced by Hume, Mackay and Tessera. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_08510 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regular maps from the lamplighter to metabelian groups Gournay, Antoine Coz, Corentin Le Group Theory 20F65, 05C25, 20K35 We prove that the lamplighter group admits an injective Lipschitz map to any finitely generated metabelian group which is not virtually nilpotent. This implies that finitely generated metabelian groups satisfy the ``analytically thin/analytically thick'' dichotomy recently introduced by Hume, Mackay and Tessera. |
| title | Regular maps from the lamplighter to metabelian groups |
| topic | Group Theory 20F65, 05C25, 20K35 |
| url | https://arxiv.org/abs/2401.08510 |