Groups Acting on Metric Spaces with Asymptotic Property C
classification
🧮 math.GT
math.MG
keywords
asymptoticpropertymetricactingactsdimensionequalgroup
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We show that if a group $G$ acts by isometries on a metric space $M$ which has asymptotic property C, such that the quasi-stabilizers of a point $x \in M$ have asymptotic dimension less than or equal to $n$, then $G$ itself has asymptotic property C.
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