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arxiv: 2109.12837 · v4 · pith:FSQCFZCXnew · submitted 2021-09-27 · 🧮 math.GR · math.GN· math.MG

Some remarks on proper actions, proper metric spaces, and buildings

classification 🧮 math.GR math.GNmath.MG
keywords properactionsbuildingmetricspacestransitiveactionapartment
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We discuss various aspects of isometric group actions on proper metric spaces. As one application, we show that a proper and Weyl transitive action on a euclidean building is strongly transitive on the maximal atlas (the complete apartment system) of the building.

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