ON FINITE GROUPS WITH SPECIFIC NUMBER OF CENTRALIZERS

Sekhar Jyoti BAİSHYA

Makale detayları

ON FINITE GROUPS WITH SPECIFIC NUMBER OF CENTRALIZERS

Yazarlar:

Sekhar Jyoti BAİSHYA

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2013 Vol.13 Issue 13, pp.53-62

Belge Tipi:

Makale

Yayın Tarihi:

5/2013

Belge Dili:

Türkçe

Document ID (Org No.):

2000718240

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

Özet:

 

For a group G, | Cent(G) | denotes the number of distinct centralizers
 of its elements. A group G is called n-centralizer if | Cent(G) |= n,
 and primitive n-centralizer if | Cent(G) |=| Cent(GZ(G)) |= n. In this paper,
 among other things, we investigate the structure of finite groups of odd order
 with | Cent(G) |= 9 and prove that if |G| is odd, then | Cent(G) |= 9 if and
 only if GZ(G)∼= C7 o C3 or C7 × C7.

Makale detayları

ON FINITE GROUPS WITH SPECIFIC NUMBER OF CENTRALIZERS

Yazarlar: Sekhar Jyoti BAİSHYA

Yayıncı: Abdullah HARMANCI

Dergi: International Electronic Journal of Algebra 2013 Vol.13 Issue 13, pp.53-62

Belge Tipi: Makale

Yayın Tarihi: 5/2013

Belge Dili: Türkçe

Document ID (Org No.): 2000718240

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

Sayı

Yazarlar:

Sekhar Jyoti BAİSHYA

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2013 Vol.13 Issue 13, pp.53-62

Belge Tipi:

Makale

Yayın Tarihi:

5/2013

Belge Dili:

Türkçe

Document ID (Org No.):

2000718240

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048