On ascending and subnormal subgroups of infinite factorized groups
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.
English version (Springer): Ukrainian Mathematical Journal 49 (1997), no. 6, pp 943-949.
Citation Example: De Glovanni F., Franclosi S., Sysak Ya. P. On ascending and subnormal subgroups of infinite factorized groups // Ukr. Mat. Zh. - 1997. - 49, № 6. - pp. 842–848.