Totally Transitive Torsion-Free Groups of Finite p-Rank
Copyright policy )Totally Transitive Torsion-Free Groups of Finite p-Rank
A torsion-free Abelian group \(A\) is a totally transitive group if any two elements \(a,b\in A\) with the characteristic condition \(\chi_A(a)\leq\chi_A(b)\) (\(\chi_A(a)=\chi_A(b)\)) are endomorphic (automorphic) conjugate elements, i.e., there is an endomorphism (automorphism) \(f\) such that \(fa=b\). The author presents a characterization of torsion-free totally transitive Abelian groups with the property that every endomorphism of the group is a monomorphism.
totally transitive groups, Torsion-free groups, finite rank, endomorphisms, automorphisms, Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups, monomorphisms, Abelian groups
totally transitive groups, Torsion-free groups, finite rank, endomorphisms, automorphisms, Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups, monomorphisms, Abelian groups
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