论文标题

Anosov子组的Klein-Maskit组合定理:免费产品

Klein-Maskit combination theorem for Anosov subgroups: Free products

论文作者

Dey, Subhadip, Kapovich, Michael

论文摘要

在自由产品案例中,在Anosov子组的设置中,我们证明了经典的klein baskit组合定理的概括。 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 $Γ_A*Γ_B$.这种概括是在我们之前与Bernhard Leeb(Arxiv:1805.07374)的文章中猜想的。

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).

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