Systolizing buildings
classification
🧮 math.GR
math.COmath.GT
keywords
buildingssystolictypesactingcomplexesconsequentlyconstructioncoxeter
read the original abstract
We introduce a construction turning some Coxeter and Davis realizations of buildings into systolic complexes. Consequently groups acting geometrically on buildings of triangle types distinct from $(2,4,4)$, $(2,4,5)$, $(2,5,5)$, and various rank $4$ types are systolic.
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