Orest ARTEMOVYCH

102133

Generalized Heineken--Mohamed type groups

We prove that a torsion group G with all subgroups subnormal is a nilpotent group or G=N(A1 \times \cdots \times An) is a product of a normal nilpotent subgroup N and pi-subgroups Ai, where Ai=A1(i) \cdots Ami(i) \lhd G, Aj(i) is a Heineken--Mohamed type group, and p1, \ldots, pn are pairwise distinct primes (n\geq 1; i=1, ... ,n; j=1, ... ,mi and mi are positive integers).

Anahtar Kelimeler:

Nilpotent group, indecomposable group, Heineken-Mohamed type group

Generalized Heineken--Mohamed type groups

We prove that a torsion group G with all subgroups subnormal is a nilpotent group or G=N(A1 \times \cdots \times An) is a product of a normal nilpotent subgroup N and pi-subgroups Ai, where Ai=A1(i) \cdots Ami(i) \lhd G, Aj(i) is a Heineken--Mohamed type group, and p1, \ldots, pn are pairwise distinct primes (n\geq 1; i=1, ... ,n; j=1, ... ,mi and mi are positive integers).

Keywords:

Nilpotent group, indecomposable group, Heineken-Mohamed type group,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

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