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- W2783017466 abstract "Using a probabilistic argument we show that the second bounded cohomology of an acylindrically hyperbolic group $G$ (e.g., a non-elementary hyperbolic or relatively hyperbolic group, non-exceptional mapping class group, ${rm Out}(F_n)$, dots) embeds via the natural restriction maps into the inverse limit of the second bounded cohomologies of its virtually free subgroups, and in fact even into the inverse limit of the second bounded cohomologies of its hyperbolically embedded virtually free subgroups. This result is new and non-trivial even in the case where $G$ is a (non-free) hyperbolic group. The corresponding statement fails in general for the third bounded cohomology, even for surface groups." @default.
- W2783017466 created "2018-01-26" @default.
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- W2783017466 date "2017-01-03" @default.
- W2783017466 modified "2023-09-23" @default.
- W2783017466 title "Bounded cohomology and virtually free hyperbolically embedded subgroups" @default.
- W2783017466 hasPublicationYear "2017" @default.
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