This article is cited in 5 papers

Criterion for Invertibility of Endomorphisms and Test Rank of Metabelian Products of Abelian Groups

Ch. K. Gupta^a, E. I. Timoshenko

^a University of Manitoba

Abstract: 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, endomorphism, test set, test rank.

UDC: 512.5

Received: 30.09.2003
Revised: 09.04.2004

 English version: Algebra and Logic, 2004, 43:5, 316–326

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