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On Decomposable Fully Transitive Torsion-Free Groups

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Abstract

Some properties of fully transitive torsion-free groups are established. Necessary and sufficient conditions for full transitivity of quasihomogeneously decomposable torsion-free groups are obtained in terms of types.

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References

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  3. Chekhlov A. R., “Torsion-free abelian groups of finite p-rank with complemented closed pure subgroups,” in: Abelian Groups and Modules [in Russian], Tomsk, 1991, No. 10, pp. 157–178.

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Chekhlov, A.R. On Decomposable Fully Transitive Torsion-Free Groups. Siberian Mathematical Journal 42, 605–609 (2001). https://doi.org/10.1023/A:1010491630413

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