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.

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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