Uschold, Matthias (2025) Torsion homology growth and cheap rebuilding of inner-amenable groups. GROUPS GEOMETRY AND DYNAMICS, 19 (3). pp. 1089-1105. ISSN 1661-7207, 1661-7215
Full text not available from this repository. (Request a copy)Abstract
We prove that virtually torsion-free, residually finite groups that are inner-amenable and non-amenable have the cheap 1-rebuilding property, a notion recently introduced by Ab & eacute;rt, Bergeron, Fraczyk and Gaboriau. As a consequence, the first 2-Betti pound number with arbitrary field coefficients and log-torsion in degree 1 vanish for these groups. This extends results previously known for amenable groups to inner-amenable groups. We use a structure theorem of Tucker-Drob for inner-amenable groups showing the existence of a chain of q-normal subgroups.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | AMENABILITY; cheap rebuilding; inner amenability; torsion homology growth; 2-Betti pound numbers |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 07 May 2026 08:54 |
| Last Modified: | 07 May 2026 08:54 |
| URI: | https://pred.uni-regensburg.de/id/eprint/65946 |
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