Virtually soluble groups of type FP∞

Martinez-Pérez, Conchita and Nucinkis, Brita E.A.

(2010)

Martinez-Pérez, Conchita and Nucinkis, Brita E.A. (2010) Virtually soluble groups of type FP∞. Commentarii Mathematici Helvetici, 85 (1).

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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.

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This is a Approved version
This version's date is: 2010
This item is not peer reviewed

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https://repository.royalholloway.ac.uk/items/ab3825da-8bc8-cb89-1a37-781fee983907/3/

Item TypeJournal Article
TitleVirtually soluble groups of type FP∞
AuthorsMartinez-Pérez, Conchita
Nucinkis, Brita E.A.
DepartmentsFaculty of Science\Mathematics

Identifiers
doihttp://dx.doi.org/10.4171/CMH/190

Deposited by Research Information System (atira) on 19-Jun-2013 in Royal Holloway Research Online.Last modified on 19-Jun-2013

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