Cohomological finiteness conditions for a class of metabelian groups

Abstract

We consider a class of metabelian groups first studied by Baumslag and Stammbach and we show that these groups are consistent with the Bieri-Groves conjecture which relates cohomological finiteness conditions to the Bieri-Neumann-Strebel sigma invariant.

10 pages Accepted for publication in the Bulletin of the London Mathematical Society