Geodesic
On locally soluble AFN-groups
Algebra and discrete mathematics, Tome 14 (2012) no. 1, pp. 37-48.

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Let A be an RG-module, where R is a commutative ring, G is a locally soluble group, CG(A)=1, and each proper subgroup H of G for which A/CA(H) is not a noetherian R-module, is finitely generated. We describe the structure of a locally soluble group G with these conditions and the structure of G under consideration if G is a finitely generated soluble group and the quotient module A/CA(G) is not a noetherian R-module.
Mots-clés : locally soluble group, noetherian module, group ring. 
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Olga Yu. Dashkova. On locally soluble $AFN$-groups. Algebra and discrete mathematics, Tome 14 (2012) no. 1, pp. 37-48. https://geodesic-test.mathdoc.fr/item/ADM_2012_14_1_a4/

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