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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.11819 |
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| _version_ | 1866910020184047616 |
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| author | Bengi, Naomi Wise, Daniel T. |
| author_facet | Bengi, Naomi Wise, Daniel T. |
| contents | We construct a finitely generated residually finite group $G$ with the property that every finite index subgroup of $G$ contains a subgroup isomorphic to Promislow's group. Hence $G$ does not have a finite index subgroup with the unique product property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_11819 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Residually finite groups that do not virtually have the unique product property Bengi, Naomi Wise, Daniel T. Group Theory We construct a finitely generated residually finite group $G$ with the property that every finite index subgroup of $G$ contains a subgroup isomorphic to Promislow's group. Hence $G$ does not have a finite index subgroup with the unique product property. |
| title | Residually finite groups that do not virtually have the unique product property |
| topic | Group Theory |
| url | https://arxiv.org/abs/2602.11819 |