
Abstract
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: | Journal article |
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Form of publication: | Publisher's Version |
Keywords: | Asymptotic properties of groups; groups presentable by products |
Faculties: | Mathematics, Computer Science and Statistics > Mathematics |
Subjects: | 500 Science > 510 Mathematics |
URN: | urn:nbn:de:bvb:19-epub-23155-5 |
ISSN: | 1661-7207 |
Alliance/National Licence: | This publication is with permission of the rights owner freely accessible due to an Alliance licence and a national licence (funded by the DFG, German Research Foundation) respectively. |
Language: | English |
Item ID: | 23155 |
Date Deposited: | 02. Mar 2015, 12:48 |
Last Modified: | 13. Aug 2024, 12:41 |