On the finite ppp-groups with unique cyclic subgroup of given order

Libo ZHAO; Yangming Lİ; Lu GONG

Makale detayları

On the finite ppp-groups with unique cyclic subgroup of given order

Yazarlar:

Libo ZHAO | Yangming Lİ | Lu GONG

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 2, pp.244-249

Belge Tipi:

Makale

Yayın Tarihi:

3/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000747005

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

In this paper, we prove that if GGG is nonabelian and |G|>p4|G|>p4|G|>p^4, then GGG has a unique cyclic subgroup of order pmpmp^m with m≥3m≥3m\geq 3 if and only if GGG has a unique abelian subgroup of order p3p3p^3 if and only if GGG is a 222-group of maximal class.

Makale detayları

On the finite ppp-groups with unique cyclic subgroup of given order

Yazarlar: Libo ZHAO | Yangming Lİ | Lu GONG

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2016 Vol.40 Issue 2, pp.244-249

Belge Tipi: Makale

Yayın Tarihi: 3/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000747005

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Libo ZHAO | Yangming Lİ | Lu GONG

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 2, pp.244-249

Belge Tipi:

Makale

Yayın Tarihi:

3/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000747005

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098