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The uniform perfectness of diffeomorphism groups of open manifolds (1905.07664v1)

Published 19 May 2019 in math.GT, math.DG, math.DS, and math.GR

Abstract: In this paper we study the uniform perfectness, boundedness and uniform simplicity of diffeomorphism groups of compact manifolds with boundary and open manifolds and obtain some upper bounds of their diameters with respect to commutator length, those with support in balls and conjugation-generated norm.

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