Primary and biprimary class sizes implying nilpotency of finite groups

Qinhui JIANG; Changguo SHAO

Makale detayları

Primary and biprimary class sizes implying nilpotency of finite groups

Yazarlar:

Qinhui JIANG | Changguo SHAO

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 2, pp.389-396

Belge Tipi:

Makale

Yayın Tarihi:

3/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000747026

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

Let GGG be a finite group.   We prove that GGG is nilpotent if  the set of conjugacy class sizes of primary and bipirimary elements is {1,m,n,mn}{1,m,n,mn}\{1,m,n,mn\} with mmm and nnn coprime. Moreover, mmm and nnn are distinct primes power.

Makale detayları

Primary and biprimary class sizes implying nilpotency of finite groups

Yazarlar: Qinhui JIANG | Changguo SHAO

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2016 Vol.40 Issue 2, pp.389-396

Belge Tipi: Makale

Yayın Tarihi: 3/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000747026

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Qinhui JIANG | Changguo SHAO

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 2, pp.389-396

Belge Tipi:

Makale

Yayın Tarihi:

3/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000747026

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098