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Induced quasicocycles on groups with hyperbolically embedded subgroups

Induced quasicocycles on groups with hyperbolically embedded subgroups

Let G be a group, H a hyperbolically embedded subgroup of G, V a normed G-module, U an H-invariant submodule of V. We propose a general construction which allows to extend 1-quasi-cocycles on H with values in U to 1-quasi-cocycles on G with values in V. As an application, we …