Fixed points for group actions on 2-dimensional affine buildings

Anne Thomas; Jeroen Schillewaert; Koen Struyve

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Fixed points for group actions on 2-dimensional affine buildings

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arxiv 2003.00681 v3 pith:2TNFH5N2 submitted 2020-03-02 math.GR math.MG

Jeroen Schillewaert , Koen Struyve , Anne Thomas This is my paper

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keywords affinebuildingsfixedpointstildeactingactionscase

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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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