Relatório de Pesquisa 02/2004

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}.


If you are interested in obtaining a copy of this report please contact the author either via e-mail or via snail mail. The author's postal address is the following:

IMECC, UNICAMP, Cx. P. 6065

13083-970 Campinas, SP, BRAZIL

February 02, 2004

 

Volta ao indíce de Relatórios de Pesquisa