Virtually soluble groups of type FP∞. / Martinez-Pérez, Conchita; Nucinkis, Brita E.A.
In: Commentarii Mathematici Helvetici, Vol. 85, No. 1, 2010, p. 135-150.Research output: Contribution to journal › Article
Published
Abstract
We prove that a virtually soluble group $G$ of type $FP_\infty$
admits a finitely dominated model for $\underline{E}G$ of dimension the Hirsch
length of $G$. This implies in particular that the Brown conjecture
is satisfied for virtually torsion-free elementary amenable groups.
admits a finitely dominated model for $\underline{E}G$ of dimension the Hirsch
length of $G$. This implies in particular that the Brown conjecture
is satisfied for virtually torsion-free elementary amenable groups.
| Original language | English |
|---|---|
| Pages (from-to) | 135-150 |
| Number of pages | 16 |
| Journal | Commentarii Mathematici Helvetici |
| Volume | 85 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2010 |
This open access research output is licenced under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.
ID: 13407898