Niblo, Graham A. and Roller, Martin A. (1998) Groups acting on cubes and Kazhdan's property (T). PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 126 (3). pp. 693-699. ISSN 0002-9939, 1088-6826
Full text not available from this repository.Abstract
We show that a group G contains a subgroup K with e(G,K) > 1 if and only if it admits an action on a connected cube that is transitive on the hyperplanes and has no fixed point. As a corollary we deduce that a countable group G with such a subgroup does not satisfy Kazhdan's property (T).
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ENDS; geometric group theory ends; Kazhdan's property (T) |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 28 Feb 2023 08:01 |
| Last Modified: | 28 Feb 2023 08:01 |
| URI: | https://pred.uni-regensburg.de/id/eprint/50068 |
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