On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866916810726572032 |
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| author | Halder, Rakesh Sardar, Pranab |
| author_facet | Halder, Rakesh Sardar, Pranab |
| contents | In this short note, we prove the existence of weakly malnormal, virtually free, quasiconvex subgroups in any nonelementary hyperbolic group. This extends a result of Ilya Kapovich, where he proved the existence of malnormal quasiconvex subgroups in torsion-free hyperbolic groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_20161 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups Halder, Rakesh Sardar, Pranab Group Theory Geometric Topology Metric Geometry 20F65, 20F67 In this short note, we prove the existence of weakly malnormal, virtually free, quasiconvex subgroups in any nonelementary hyperbolic group. This extends a result of Ilya Kapovich, where he proved the existence of malnormal quasiconvex subgroups in torsion-free hyperbolic groups. |
| title | On the existence of weakly malnormal quasiconvex subgroups of hyperbolic groups |
| topic | Group Theory Geometric Topology Metric Geometry 20F65, 20F67 |
| url | https://arxiv.org/abs/2506.20161 |