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This article is cited in 13 scientific papers (total in 13 papers)
Totally Transitive Torsion-Free Groups of Finite $p$-Rank
A. R. Chekhlov
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 $A$.
Keywords:
totally transitive torsion-free group, quasihomogeneous totally transitive group, endomorphism, monomorphism.
Received: 21.04.1999 Revised: 20.07.2001
Citation:
A. R. Chekhlov, “Totally Transitive Torsion-Free Groups of Finite $p$-Rank”, Algebra Logika, 40:6 (2001), 698–715; Algebra and Logic, 40:6 (2001), 391–400
Linking options:
https://www.mathnet.ru/eng/al243 https://www.mathnet.ru/eng/al/v40/i6/p698
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