Abstract
We study just infinite JG-modules, where J is either the ℤ -group algebra or the F〈t〉-group algebra of the infinite cyclic group 〈t〉 over a finite field F and G is a solvable group of finite rank. With the help of the obtained results it is proved that the finitely approximated torsionfree solvable groups with the condition Min-∞- N are minimax.
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