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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.15762 |
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| _version_ | 1866908867503325184 |
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| author | Mineh, Lawk |
| author_facet | Mineh, Lawk |
| contents | We show that a central extension of locally quasiconvex subgroup separable hyperbolic group is product separable, so long as it is subgroup separable. We also establish that a central extension of a double coset separable group by a finitely generated group is double coset separable if and only if it is subgroup separable, and that double coset separability is stable under taking direct products with finitely generated nilpotent groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_15762 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Product separability in central extensions Mineh, Lawk Group Theory 20E26 (Primary), 20F65 (Secondary) We show that a central extension of locally quasiconvex subgroup separable hyperbolic group is product separable, so long as it is subgroup separable. We also establish that a central extension of a double coset separable group by a finitely generated group is double coset separable if and only if it is subgroup separable, and that double coset separability is stable under taking direct products with finitely generated nilpotent groups. |
| title | Product separability in central extensions |
| topic | Group Theory 20E26 (Primary), 20F65 (Secondary) |
| url | https://arxiv.org/abs/2504.15762 |