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- W4300802297 abstract "We prove a decomposition result for a group $G$ acting strongly transitively on the Tits boundary of a Euclidean building. As an application we provide a local to global result for discrete Euclidean buildings, which generalizes results in the locally compact case by Caprace--Ciobotaru and Burger--Mozes. Let $X$ be a Euclidean building without cone factors. If a group $G$ of automorphisms of $X$ acts strongly transitively on the spherical building at infinity $partial X$, then the $G$-stabilizer of every affine apartment in $X$ contains all reflections along thick walls. In particular $G$ acts strongly transitively on $X$ if $X$ is simplicial and thick." @default.
- W4300802297 created "2022-10-04" @default.
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- W4300802297 date "2015-06-11" @default.
- W4300802297 modified "2023-09-26" @default.
- W4300802297 title "Strongly transitive actions on Euclidean buildings" @default.
- W4300802297 doi "https://doi.org/10.48550/arxiv.1506.03594" @default.
- W4300802297 hasPublicationYear "2015" @default.
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