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math.GR2021★ 17 cited
Bounded cohomology and binate groups
Francesco Fournier-Facio, Clara Loeh, Marco Moraschini
A group is boundedly acyclic if its bounded cohomology with trivial real coefficients vanishes in all positive degrees. Amenable groups are boundedly acyclic, while the first non-a…
math.GR2021★ 1 cited
Bounded cohomology of finitely presented groups: vanishing, non-vanishing, and computability
Francesco Fournier-Facio, Clara Loeh, Marco Moraschini
We provide new computations in bounded cohomology: A group is boundedly acyclic if its bounded cohomology with trivial real coefficients is zero in all positive degrees. We show th…