Dessislava H. Kochloukova, Modules of
Type FP2 over the Integral Group Algebra of a Metabelian Group
Abstract
We demonstrate a sufficient
condition for some modules $M$ over the
group algebra $\BZ[G]$ to be of homological type $FP_2$, where $G$ is a
finitely generated split extension of abelian groups. This generalises a result
of Bieri-Strebel when $M$ is the trivial module $\BZ$ \cite{B-S1} and is a
special case of a conjecture suggested in \cite[Conj.~7]{K4}.
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February 02, 2004