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April, 2017 A note on bounded-cohomological dimension of discrete groups
Clara LÖH
J. Math. Soc. Japan 69(2): 715-734 (April, 2017). DOI: 10.2969/jmsj/06920715

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 LÖH. "A note on bounded-cohomological dimension of discrete groups." J. Math. Soc. Japan 69 (2) 715 - 734, April, 2017. https://doi.org/10.2969/jmsj/06920715

Information

Published: April, 2017
First available in Project Euclid: 20 April 2017

zbMATH: 1376.55005
MathSciNet: MR3638282
Digital Object Identifier: 10.2969/jmsj/06920715

Subjects:
Primary: 20E99, 20J06, 55N35

Rights: Copyright © 2017 Mathematical Society of Japan

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Vol.69 • No. 2 • April, 2017
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