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math.MG2025
Flat subsets of Euclidean buildings
Raphael Appenzeller, Auguste Hébert, Alexander Lytchak
We prove that any convex flat subset in a complete Euclidean building is contained in an apartment of the maximal system of apartments.
math.GR2025
Cops and robbers for hyperbolic and virtually free groups
Raphael Appenzeller, Kevin Klinge
Lee, Martínez-Pedroza and Rodríguez-Quinche define two new group invariants, the strong cop number and the weak cop number , by examining…