A note on locally graded minimal non-metahamiltonian groups

Sevgi ATLIHAN

Makale detayları

A note on locally graded minimal non-metahamiltonian groups

Yazarlar:

Sevgi ATLIHAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2017 Vol.41 Issue 5, pp.1140-1143

Belge Tipi:

Makale

Yayın Tarihi:

9/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000745990

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

We prove that a nonperfect locally gradedminimal non-metahamiltonian group GGG is a soluble group withderived length of at most 4. On the other hand, if GGG is perfect,then G/Φ(G)G/Φ(G)G/\Phi (G) is isomorphic to A5A5A_{5}, where Φ(G)Φ(G)\Phi (G) isthe Frattini subgroup of GGG and A5A5A_{5} is the alternating group.Moreover, we show that under some conditions,if G is a ppp-group, then G is metabelian, where ppp is a prime integer.

Makale detayları

A note on locally graded minimal non-metahamiltonian groups

Yazarlar: Sevgi ATLIHAN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2017 Vol.41 Issue 5, pp.1140-1143

Belge Tipi: Makale

Yayın Tarihi: 9/2017

Belge Dili: Türkçe

Document ID (Org No.): 2000745990

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Sevgi ATLIHAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2017 Vol.41 Issue 5, pp.1140-1143

Belge Tipi:

Makale

Yayın Tarihi:

9/2017

Belge Dili:

Türkçe

Document ID (Org No.):

2000745990

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098