Malnormality is undecidable in hyperbolic groups
In answer to a question of Myasnikov, we show that there exist hyperbolic groups for which there is no algorithm to decide which finitely generated subgroups are malnormal or quasiconvex.
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2001
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| _version_ | 1797066596596842496 |
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| author | Bridson, M Wise, D |
| author_facet | Bridson, M Wise, D |
| author_sort | Bridson, M |
| collection | OXFORD |
| description | In answer to a question of Myasnikov, we show that there exist hyperbolic groups for which there is no algorithm to decide which finitely generated subgroups are malnormal or quasiconvex. |
| first_indexed | 2024-03-06T21:44:20Z |
| format | Journal article |
| id | oxford-uuid:490a5ff3-8aef-41be-b317-565a50025d2e |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T21:44:20Z |
| publishDate | 2001 |
| record_format | dspace |
| spelling | oxford-uuid:490a5ff3-8aef-41be-b317-565a50025d2e2022-03-26T15:29:15ZMalnormality is undecidable in hyperbolic groupsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:490a5ff3-8aef-41be-b317-565a50025d2eEnglishSymplectic Elements at Oxford2001Bridson, MWise, DIn answer to a question of Myasnikov, we show that there exist hyperbolic groups for which there is no algorithm to decide which finitely generated subgroups are malnormal or quasiconvex. |
| spellingShingle | Bridson, M Wise, D Malnormality is undecidable in hyperbolic groups |
| title | Malnormality is undecidable in hyperbolic groups |
| title_full | Malnormality is undecidable in hyperbolic groups |
| title_fullStr | Malnormality is undecidable in hyperbolic groups |
| title_full_unstemmed | Malnormality is undecidable in hyperbolic groups |
| title_short | Malnormality is undecidable in hyperbolic groups |
| title_sort | malnormality is undecidable in hyperbolic groups |
| work_keys_str_mv | AT bridsonm malnormalityisundecidableinhyperbolicgroups AT wised malnormalityisundecidableinhyperbolicgroups |