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In mathematics, group cohomology is a set of mathematical tools used to study groups using cohomology theory, a technique from algebraic topology. Analogous to group representations, group cohomology looks at the group actions of a group G in an associated G-module M to elucidate the properties of the group.

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Quasimorphisms and Bounded Cohomology: Quantitative Version?

Suppose that $f : \Gamma \to \mathbf{R}$ is a trivial quasi-isomorphism and write $f = \phi + g$ where $\phi \in Hom(\Gamma,\mathbf{R})$ and $g : \Gamma \to \mathbf{R}$ is a bounded function as you d …
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