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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.12707 |
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| _version_ | 1866915247806218240 |
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| author | Darbinyan, Arman Steenbock, Markus |
| author_facet | Darbinyan, Arman Steenbock, Markus |
| contents | In this paper, we survey some of the recent advances on embeddings into finitely generated (left-orderable) simple group such that the overgroup preserves algorithmic, geometric, or algebraic information about the embedded group. We discuss some new consequences and also extend some of those embedding theorems to countable classes of finitely generated groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_12707 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On what finitely generated (left-orderable) simple groups can know about their subgroups Darbinyan, Arman Steenbock, Markus Group Theory 20F60, 20E32, 20F10 In this paper, we survey some of the recent advances on embeddings into finitely generated (left-orderable) simple group such that the overgroup preserves algorithmic, geometric, or algebraic information about the embedded group. We discuss some new consequences and also extend some of those embedding theorems to countable classes of finitely generated groups. |
| title | On what finitely generated (left-orderable) simple groups can know about their subgroups |
| topic | Group Theory 20F60, 20E32, 20F10 |
| url | https://arxiv.org/abs/2504.12707 |