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 
@article{AL_2004_43_5_a2,
     author = {Ch. K. Gupta and E. I. Timoshenko},
     title = {Criterion for {Invertibility} of {Endomorphisms} and {Test} {Rank} of {Metabelian} {Products} of {Abelian} {Groups}},
     journal = {Algebra i logika},
     pages = {565--581},
     publisher = {mathdoc},
     volume = {43},
     number = {5},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2004_43_5_a2/}
}
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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/