Abstract
Totally transitive torsion-free groups all non-zero endomorphisms of which are monomorphisms are studied. Such are characterized in terms of modules over some rings with specific properties. Also, a structural description is provided for quasihomogeneous, totally transitive, torsion-free groups \(A\) of finite \(p\)-rank, for at least one prime \(p\) not dividing \(A\).
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Chekhlov, A.R. Totally Transitive Torsion-Free Groups of Finite p-Rank. Algebra and Logic 40, 391–400 (2001). https://doi.org/10.1023/A:1013755809961
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DOI: https://doi.org/10.1023/A:1013755809961