# Virtually soluble groups of type FP∞

Conchita Martinez-Pérez, Brita E.A. Nucinkis

Research output: Contribution to journalArticlepeer-review

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