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arXiv · 2306.16546

Weak Tits alternative for groups acting geometrically on buildings

Chris Karpinski·Damian Osajda·Piotr Przytycki
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Abstract

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.

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Chris Karpinski, Damian Osajda, Piotr Przytycki. 2023-06-28. Weak Tits alternative for groups acting geometrically on buildings. https://arxiv.org/abs/2306.16546

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