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arXiv:2109.12837 [math.GR]AbstractReferencesReviewsResources

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

Linus Kramer

Published 2021-09-27, updated 2022-05-15Version 3

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.

Comments: v3: Substantially expanded and revised. To appear in Adv. in Geometry
Categories: math.GR, math.GN, math.MG
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