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Title: Weak Modularity and Euclidean Buildings

础产蝉迟谤补肠迟:听Coxeter groups with large enough torsion coefficients are known to satisfy non-positive curvature properties such as systolicity. However, there are known examples of Coxeter groups which are not systolic. In particular, the associated Coxeter complexes are not systolic. For a class of such Coxeter groups, we prove a generalized non-positive curvature condition -- weak modularity. Time permitting, we extend the result to buildings.