On ascending and subnormal subgroups of infinite factorized groups
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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.
KeywordsNormal Subgroup Quotient Group Finite Index Finite Subgroup Subnormal Subgroup
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