Friedl, Stefan and Vidussi, Stefano (2016) Rank gradients of infinite cyclic covers of Kahler manifolds. JOURNAL OF GROUP THEORY, 19 (5). pp. 941-957. ISSN 1433-5883, 1435-4446
Full text not available from this repository. (Request a copy)Abstract
Given a Kahler group G and a primitive class phi is an element of H-1 (G; Z), we show that the rank gradient of (G, phi) is zero if and only if Ker phi <= G is finitely generated. Using this approach, we give a quick proof of the fact (originally due to Napier and Ramachandran) that Kahler groups are not properly ascending or descending HNN extensions. Further investigation of the properties of Bieri-Neumann-Strebel invariants of Kahler groups allows us to show that a large class of groups of orientation-preserving PL homeomorphisms of an interval (customarily denoted F(l, Z[1/n(1)...n(k)], < n(1),...,n(k) >)), which generalize Thompson's group F, are not Kahler.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | PIECEWISE LINEAR HOMEOMORPHISMS; THOMPSONS GROUP-F; INVARIANT; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Stefan Friedl |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 03 Apr 2019 13:01 |
| Last Modified: | 03 Apr 2019 13:01 |
| URI: | https://pred.uni-regensburg.de/id/eprint/3346 |
Actions (login required)
 |
View Item |
