Literatur
On the basic subgroups of abelianp-groups,Acta Math. Acad. Sci. Hung. 5 (1954), pp. 129–141. For the definition of basic subgroups and their isomorphism we refer to this paper.
This isomorphism is an easy consequence of the definition of basic subgroup.
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Fuchs, L., Rédei, L. On a property of basic subgroups. Acta Mathematica Academiae Scientiarum Hungaricae 5, 143–144 (1954). https://doi.org/10.1007/BF02020394
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DOI: https://doi.org/10.1007/BF02020394