Fixed points for group actions on 2‐dimensional affine buildings

Abstract We prove a local‐to‐global result for fixed points of finitely generated groups acting on 2‐dimensional affine buildings of types and . Our proofs combine building‐theoretic arguments with standard results for spaces.

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Publication Details

Journal
Bulletin of the London Mathematical Society
Published
2024-12-18
DOI
https://doi.org/10.1112/blms.13197
Citations
2
Primary Topic
Geometric and Algebraic Topology
Type
article
Field-Weighted Citation Impact
0.00

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article

Fixed points for group actions on 2‐dimensional affine buildings

Koen Struyve, Jeroen Schillewaert, Anne Thomas
2 citations
Bulletin of the London Mathematical Society
Geometric and Algebraic Topology
article

Fixed points for group actions on 2‐dimensional affine buildings

Koen Struyve, Jeroen Schillewaert, Anne Thomas
article en
2 citations

Abstract

Abstract We prove a local‐to‐global result for fixed points of finitely generated groups acting on 2‐dimensional affine buildings of types and . Our proofs combine building‐theoretic arguments with standard results for spaces.

Bulletin of the London Mathematical SocietyVol. 57(1)
The University of Sydney (AU), University of Auckland (NZ)
University of Auckland, Australian Research Council, Marsden Fund
Sustainable cities and communities
Openalex Percentile: Top 100%
Geometric and Algebraic Topology
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