Kotschick, D. and Loeh, C. (2013) Groups not presentable by products. GROUPS GEOMETRY AND DYNAMICS, 7 (1). pp. 181-204. ISSN 1661-7207, 1661-7215
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In this paper we study obstructions to presentability by products for finitely generated groups. Along the way we develop both the concept of acentral subgroups, and the relations between presentability by products on the one hand, and certain geometric and measure or orbit equivalence invariants of groups on the other. This leads to many new examples of groups not presentable by products, including all groups with infinitely many ends, the ( outer) automorphism groups of free groups, Thompson's groups, and even some elementary amenable groups.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ISOMETRY GROUPS; BOUNDED COHOMOLOGY; RANK GRADIENT; EQUIVALENCE; AUTOMORPHISMS; RIGIDITY; SPACES; COST; Asymptotic properties of groups; groups presentable by products |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Clara Löh |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 29 Apr 2020 06:21 |
| Last Modified: | 29 Apr 2020 06:21 |
| URI: | https://pred.uni-regensburg.de/id/eprint/17381 |
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