Open Access
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


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.


Download Citation

Clara LÖH. "A note on bounded-cohomological dimension of discrete groups." J. Math. Soc. Japan 69 (2) 715 - 734, April, 2017.


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

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

Primary: 20E99 , 20J06 , 55N35

Keywords: bounded cohomology , cohomological dimension , mitotic groups

Rights: Copyright © 2017 Mathematical Society of Japan

Vol.69 • No. 2 • April, 2017
Back to Top