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

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arxiv 2109.12837 v4 pith:FSQCFZCX submitted 2021-09-27 math.GR math.GNmath.MG

classification math.GRmath.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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