Generalized Heineken–Mohamed type groups

نویسنده

  • Orest ARTEMOVYCH
چکیده

We prove that a torsion group G with all subgroups subnormal is a nilpotent group or G = N(A1×· · ·×An) is a product of a normal nilpotent subgroup N and pi -subgroups Ai , where Ai = A (i) 1 · · ·A (i) mi G , A (i) j is a Heineken–Mohamed type group, and p1, . . . , pn are pairwise distinct primes (n ≥ 1; i = 1, . . . , n; j = 1, . . . ,mi and mi are positive integers).

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تاریخ انتشار 2015