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Criterion for Invertibility of Endomorphisms and Test Rank of Metabelian Products of Abelian Groups |
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| Authors: | Ch K Gupta E I Timoshenko |
| Institution: | (1) Department of Mathematics, University of Manitoba, Winnipeg R3T 2N2, Canada |
| 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 IA-endomorphisms of G are described and its test rank computed. |
| Keywords: | finitely generated torsion-free group metabelian product Abelian group endomorphism test set test rank |
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