Generalized Heineken--Mohamed type  groups

Orest ARTEMOVYCH

Makale detayları

Generalized Heineken--Mohamed type groups

Yazarlar:

Orest ARTEMOVYCH

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2015 Vol.39 Issue 2, pp.285-291

Belge Tipi:

Makale

Yayın Tarihi:

3/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000747214

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Anahtar kelimeler:

Özet:

 

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).

 

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).

Makale detayları

Generalized Heineken--Mohamed type groups

Yazarlar:

Orest ARTEMOVYCH

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2015 Vol.39 Issue 2, pp.285-291

Belge Tipi:

Makale

Yayın Tarihi:

3/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000747214

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Nilpotent group

indecomposable group

Heineken-Mohamed type group

Sayı

Makale detayları

Generalized Heineken--Mohamed type groups

Yazarlar: Orest ARTEMOVYCH

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2015 Vol.39 Issue 2, pp.285-291

Belge Tipi: Makale

Yayın Tarihi: 3/2015

Belge Dili: Türkçe

Document ID (Org No.): 2000747214

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Nilpotent group

indecomposable group

Heineken-Mohamed type group

Sayı

Yazarlar:

Orest ARTEMOVYCH

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2015 Vol.39 Issue 2, pp.285-291

Belge Tipi:

Makale

Yayın Tarihi:

3/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000747214

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098