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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2306.16546 |
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| _version_ | 1866914831476457472 |
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| author | Karpinski, Chris Osajda, Damian Przytycki, Piotr |
| author_facet | Karpinski, Chris Osajda, Damian Przytycki, Piotr |
| contents | We show that if a group $G$ acts geometrically by type-preserving automorphisms on a building, then $G$ satisfies the weak Tits alternative, namely, that $G$ is either virtually abelian or contains a non-abelian free group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_16546 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Weak Tits alternative for groups acting geometrically on buildings Karpinski, Chris Osajda, Damian Przytycki, Piotr Group Theory We show that if a group $G$ acts geometrically by type-preserving automorphisms on a building, then $G$ satisfies the weak Tits alternative, namely, that $G$ is either virtually abelian or contains a non-abelian free group. |
| title | Weak Tits alternative for groups acting geometrically on buildings |
| topic | Group Theory |
| url | https://arxiv.org/abs/2306.16546 |