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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2412.08140 |
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| _version_ | 1866929624503549952 |
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| author | Krishna, Swathi |
| author_facet | Krishna, Swathi |
| contents | We prove that for a finitely generated group G with a free factor system and an injective endomorphism that preserves the free factor system, the ascending HNN extension of G is hyperbolic relative to a collection of maximal parabolic subgroups. As a corollary, we see that if an injective endomorphism of a finite rank free group F is exponentially growing, the ascending HNN extension of F is relatively hyperbolic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_08140 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Relative hyperbolicity of ascending HNN extension of groups Krishna, Swathi Group Theory Geometric Topology 20F65 We prove that for a finitely generated group G with a free factor system and an injective endomorphism that preserves the free factor system, the ascending HNN extension of G is hyperbolic relative to a collection of maximal parabolic subgroups. As a corollary, we see that if an injective endomorphism of a finite rank free group F is exponentially growing, the ascending HNN extension of F is relatively hyperbolic. |
| title | Relative hyperbolicity of ascending HNN extension of groups |
| topic | Group Theory Geometric Topology 20F65 |
| url | https://arxiv.org/abs/2412.08140 |