• Corpus ID: 211678018

Fixed points for group actions on 2-dimensional affine buildings

  title={Fixed points for group actions on 2-dimensional affine buildings},
  author={Jeroen Schillewaert and Koen Struyve and Anne Thomas},
  journal={arXiv: Group Theory},
We prove a local-to-global result for fixed points of groups acting on affine buildings (possibly non-discrete) of types $\tilde{A}_1\times \tilde{A}_1, \tilde{A}_2$ or $\tilde{C}_2$. In the discrete case, our theorem establishes a conjecture by Marquis. 

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