JournalsggdVol. 9, No. 3pp. 783–792

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

  • Giovanni Gandini

    Københavns Universitet, Copenhagen, Denmark

  • Sebastian Meinert

    Freie Universität Berlin, Germany

  • Henrik Rüping

    The University of British Columbia, Vancouver, Canada
The Farrell–Jones conjecture for fundamental groups of graphs of abelian groups cover
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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