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

Algebra and Logic - Tập 43 - Trang 316-326 - 2004
Ch. K. Gupta1, E. I. Timoshenko1
1Department of Mathematics, University of Manitoba, Winnipeg R3T 2N2, Canada

Tóm tắt

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.

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