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arXiv · 2003.00681

Fixed points for group actions on 2-dimensional affine buildings

Jeroen Schillewaert·Koen Struyve·Anne Thomas
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Abstract

We prove a local-to-global result for fixed points of groups acting on affine buildings (possibly non-discrete) of types $\tilde{A}_2$ or $\tilde{C}_2$. In the discrete case, our theorem establishes the corresponding special cases of a conjecture by Marquis.

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Jeroen Schillewaert, Koen Struyve, Anne Thomas. 2020-03-02. Fixed points for group actions on 2-dimensional affine buildings. https://arxiv.org/abs/2003.00681

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