Klein-Maskit combination theorem for Anosov subgroups: Free products
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866911763582156800 |
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| author | Dey, Subhadip Kapovich, Michael |
| author_facet | Dey, Subhadip Kapovich, Michael |
| contents | We prove a generalization of the classical Klein-Maskit combination theorem, in the free product case, in the setting of Anosov subgroups. Namely, if $Γ_A$ and $Γ_B$ are Anosov subgroups of a semisimple Lie group $G$ of noncompact type, then under suitable topological assumptions, the group generated by $Γ_A$ and $Γ_B$ in $G$ is again Anosov, and is naturally isomorphic to the free product $Γ_A*Γ_B$. Such a generalization was conjectured in our previous article with Bernhard Leeb (arXiv:1805.07374). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_03919 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Klein-Maskit combination theorem for Anosov subgroups: Free products Dey, Subhadip Kapovich, Michael Group Theory Geometric Topology 22E40, 20F65, 53C35, 14M15 We prove a generalization of the classical Klein-Maskit combination theorem, in the free product case, in the setting of Anosov subgroups. Namely, if $Γ_A$ and $Γ_B$ are Anosov subgroups of a semisimple Lie group $G$ of noncompact type, then under suitable topological assumptions, the group generated by $Γ_A$ and $Γ_B$ in $G$ is again Anosov, and is naturally isomorphic to the free product $Γ_A*Γ_B$. Such a generalization was conjectured in our previous article with Bernhard Leeb (arXiv:1805.07374). |
| title | Klein-Maskit combination theorem for Anosov subgroups: Free products |
| topic | Group Theory Geometric Topology 22E40, 20F65, 53C35, 14M15 |
| url | https://arxiv.org/abs/2205.03919 |