Geodesic
Just infinite modules over metabelian groups of finite rank
Sbornik. Mathematics, Tome 193 (2002) no. 5, pp. 761-778

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved, in particular, that if $G$ is a metabelian group of finite rank and $M$ is a faithful just infinite $\mathbb ZG$-module, then $G$ is finitely generated. This includes studying properties of induced modules over the group algebra $kG$ of a metabelian group $G$ of finite rank over a field $k$ of arbitrary characteristic. 
@article{SM_2002_193_5_a7,
     author = {A. V. Tushev},
     title = {Just infinite modules over metabelian groups of finite rank},
     journal = {Sbornik. Mathematics},
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     number = {5},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2002_193_5_a7/}
}
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A. V. Tushev. Just infinite modules over metabelian groups of finite rank. Sbornik. Mathematics, Tome 193 (2002) no. 5, pp. 761-778. http://geodesic.mathdoc.fr/item/SM_2002_193_5_a7/