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arXiv · 1504.05760

A note on bounded-cohomological dimension of discrete groups

Clara Loeh
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Abstract

Bounded-cohomological dimension of groups is a relative of classical cohomological dimension, defined in terms of bounded cohomology with trivial coefficients instead of ordinary group cohomology. We will discuss constructions that lead to groups with infinite bounded-cohomological dimension, and we will provide new examples of groups with bounded-cohomological dimension equal to 0. In particular, we will prove that every group functorially embeds into an acyclic group with trivial bounded cohomology.

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Clara Loeh. 2015-09-08. A note on bounded-cohomological dimension of discrete groups. https://arxiv.org/abs/1504.05760

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