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arXiv · 2205.03919

Klein-Maskit combination theorem for Anosov subgroups: Free products

Subhadip Dey·Michael Kapovich
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Abstract

We prove a generalization of the classical Klein-Maskit combination theorem, in the free product case, in the setting of Anosov subgroups. Namely, if $\Gamma_A$ and $\Gamma_B$ are Anosov subgroups of a semisimple Lie group $G$ of noncompact type, then under suitable topological assumptions, the group generated by $\Gamma_A$ and $\Gamma_B$ in $G$ is again Anosov, and is naturally isomorphic to the free product $\Gamma_A*\Gamma_B$. Such a generalization was conjectured in our previous article with Bernhard Leeb (arXiv:1805.07374).

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Subhadip Dey, Michael Kapovich. 2022-05-08. Klein-Maskit combination theorem for Anosov subgroups: Free products. https://doi.org/10.1007/s00209-023-03365-9

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