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Russo, Alessio Korean Mathematical Society 2010 대한수학회보 Vol.47 No.4
In this article we will prove that a generalized radical group satisfying the maximal condition for subnormal subgroups of infinite order (the minimal condition for subnormal subgroups of infinite index, respectively) is soluble-by-finite. Such result generalizes that obtained by D. H. Paek in [5].
Alessio Russo 대한수학회 2010 대한수학회보 Vol.47 No.4
In this article we will prove that a generalized radical group satisfying the maximal condition for subnormal subgroups of infinite order (the minimal condition for subnormal subgroups of infinite index,respectively) is soluble-by-finite. Such result generalizes that obtained by D. H. Paek in [5].