Abstract
We consider an almost hyper-Abellan group G of a finite Abelian sectional rank that is the product of two subgroups A and B. We prove that every subgroup H that belongs to the intersection A ∩ B and is ascending both in A and B is also an ascending subgroup in the group G. We also show that, in the general case, this statement is not true.
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 6, pp. 842–848, June, 1997.
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De Glovanni, F., Franclosi, S. & Sysak, Y.P. On ascending and subnormal subgroups of infinite factorized groups. Ukr Math J 49, 943–949 (1997). https://doi.org/10.1007/BF02513435
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DOI: https://doi.org/10.1007/BF02513435