Geodesic
Criterion for Invertibility of Endomorphisms and Test Rank of Metabelian Products of Abelian Groups
Algebra i logika, Tome 43 (2004) no. 5, pp. 565-581.

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Let $G$ be a finitely generated torsion-free group, which is a metabelian product of Abelian groups. We establish a criterion for endomorphisms satisfying some extra restriction to be invertible in $G$. Test sets for $\rm IA$-endomorphisms of $G$ are described and its test rank is computed.
Keywords: finitely generated torsion-free group, metabelian product, Abelian group, test set, test rank.
Mots-clés : endomorphism 
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Ch. K. Gupta; E. I. Timoshenko. Criterion for Invertibility of Endomorphisms and Test Rank of Metabelian Products of Abelian Groups. Algebra i logika, Tome 43 (2004) no. 5, pp. 565-581. http://geodesic.mathdoc.fr/item/AL_2004_43_5_a2/

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