Loeh, Clara (2017) A note on bounded-cohomological dimension of discrete groups. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 69 (2). pp. 715-734. ISSN 0025-5645,
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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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | SURFACES; bounded cohomology; cohomological dimension; mitotic groups |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Clara Löh |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2018 13:11 |
| Last Modified: | 28 Feb 2019 11:18 |
| URI: | https://pred.uni-regensburg.de/id/eprint/1085 |
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