Characteristic properties of large subgroups in primary abelian groups
Danchev, Peter V
Original · EN
Suppose G is an arbitrary additively written primary abelian group with a fixed large subgroup L. It is shown that G is (a) summable; (b) σ-summable; (c) a Σ-group; (d) pω⁺¹-projective only when so is L. These claims extend results of such a kind obtained by Benabdallah, Eisenstadt, Irwin and Poluianov, Acta Math. Acad. Sci. Hungaricae (1970) and Khan, Proc. Indian Acad. Sci. Sect. A (1978).
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