The Farrell–Jones conjecture for fundamental groups of graphs of abelian groups

Giovanni Gandini; Sebastian Meinert; Henrik Rüping

doi:10.4171/ggd/327

JournalsggdVol. 9, No. 3pp. 783–792

The Farrell–Jones conjecture for fundamental groups of graphs of abelian groups

Giovanni Gandini
Københavns Universitet, Copenhagen, Denmark
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Sebastian Meinert
Freie Universität Berlin, Germany
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Henrik Rüping
The University of British Columbia, Vancouver, Canada
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- zbMATH Open

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Abstract

We show that the Farrell–Jones conjecture holds for fundamental groups of graphs of groups with abelian vertex groups. As a special case, this shows that the conjecture holds for generalized Baumslag–Solitar groups.

Cite this article

Giovanni Gandini, Sebastian Meinert, Henrik Rüping, The Farrell–Jones conjecture for fundamental groups of graphs of abelian groups. Groups Geom. Dyn. 9 (2015), no. 3, pp. 783–792

DOI 10.4171/GGD/327