Subgroup separability in residually free groups
We prove that the finitely presentable subgroups of residually free groups are separable and that the subgroups of type $\mathrm{FP}_\infty$ are virtual retracts. We describe a uniform solution to the membership problem for finitely presentable subgroups of residually free groups.
| Main Authors: | , |
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| פורמט: | Journal article |
| שפה: | English |
| יצא לאור: |
2007
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| _version_ | 1826268022852026368 |
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| author | Bridson, M Wilton, H |
| author_facet | Bridson, M Wilton, H |
| author_sort | Bridson, M |
| collection | OXFORD |
| description | We prove that the finitely presentable subgroups of residually free groups are separable and that the subgroups of type $\mathrm{FP}_\infty$ are virtual retracts. We describe a uniform solution to the membership problem for finitely presentable subgroups of residually free groups. |
| first_indexed | 2024-03-06T21:03:13Z |
| format | Journal article |
| id | oxford-uuid:3b926a03-0b26-4075-bf59-769e7f68dedc |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T21:03:13Z |
| publishDate | 2007 |
| record_format | dspace |
| spelling | oxford-uuid:3b926a03-0b26-4075-bf59-769e7f68dedc2022-03-26T14:08:23ZSubgroup separability in residually free groupsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:3b926a03-0b26-4075-bf59-769e7f68dedcEnglishSymplectic Elements at Oxford2007Bridson, MWilton, HWe prove that the finitely presentable subgroups of residually free groups are separable and that the subgroups of type $\mathrm{FP}_\infty$ are virtual retracts. We describe a uniform solution to the membership problem for finitely presentable subgroups of residually free groups. |
| spellingShingle | Bridson, M Wilton, H Subgroup separability in residually free groups |
| title | Subgroup separability in residually free groups |
| title_full | Subgroup separability in residually free groups |
| title_fullStr | Subgroup separability in residually free groups |
| title_full_unstemmed | Subgroup separability in residually free groups |
| title_short | Subgroup separability in residually free groups |
| title_sort | subgroup separability in residually free groups |
| work_keys_str_mv | AT bridsonm subgroupseparabilityinresiduallyfreegroups AT wiltonh subgroupseparabilityinresiduallyfreegroups |