Boone--Higman Embeddings for Contracting Self-Similar Groups
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866911878854213632 |
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| author | Belk, James Matucci, Francesco |
| author_facet | Belk, James Matucci, Francesco |
| contents | We give a short proof that every contracting self-similar group embeds into a finitely presented simple group. In particular, any contracting self-similar group embeds into the corresponding Röver--Nekrashevych group, and this in turn embeds into one of the twisted Brin--Thompson groups introduced by the first author and Matthew Zaremsky. The proof here is a simplification of a more general argument given by the authors, Collin Bleak, and Matthew Zaremsky for contracting rational similarity groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_10234 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Boone--Higman Embeddings for Contracting Self-Similar Groups Belk, James Matucci, Francesco Group Theory 20F65, 20E32, 20F10 We give a short proof that every contracting self-similar group embeds into a finitely presented simple group. In particular, any contracting self-similar group embeds into the corresponding Röver--Nekrashevych group, and this in turn embeds into one of the twisted Brin--Thompson groups introduced by the first author and Matthew Zaremsky. The proof here is a simplification of a more general argument given by the authors, Collin Bleak, and Matthew Zaremsky for contracting rational similarity groups. |
| title | Boone--Higman Embeddings for Contracting Self-Similar Groups |
| topic | Group Theory 20F65, 20E32, 20F10 |
| url | https://arxiv.org/abs/2405.10234 |