A CHARACTERIZATION OF THE GROUP Ap+3 BY ITS NON-COMMUTING GRAPH

M. R. Darafsheh; P. Yousefzadeh

Makale detayları

A CHARACTERIZATION OF THE GROUP Ap+3 BY ITS NON-COMMUTING GRAPH

Yazarlar:

M. R. Darafsheh | P. Yousefzadeh

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2012 Vol.11 Issue 11, pp.160-164

Belge Tipi:

Makale

Yayın Tarihi:

5/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000718290

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048

Özet:

 

The non-commuting graph ∇(G) of a non-abelian finite group G
 is defined as follows: its vertex set is G − Z(G) and two distinct vertices x and
 y are joined by an edge if and only if the commutator of x and y is not the
 identity. In this paper we prove if G is a finite group with ∇(G) ∼= ∇(Ap+3),
 then G ∼= Ap+3, where Ap+3 is the alternating group of degree p + 3, where p
 is a prime number.

Makale detayları

A CHARACTERIZATION OF THE GROUP Ap+3 BY ITS NON-COMMUTING GRAPH

Yazarlar: M. R. Darafsheh | P. Yousefzadeh

Yayıncı: Abdullah HARMANCI

Dergi: International Electronic Journal of Algebra 2012 Vol.11 Issue 11, pp.160-164

Belge Tipi: Makale

Yayın Tarihi: 5/2012

Belge Dili: Türkçe

Document ID (Org No.): 2000718290

Sıklık: Aylık

eISSN: 1306-6048

pISSN: 1306-6048

Sayı

Yazarlar:

M. R. Darafsheh | P. Yousefzadeh

Yayıncı:

Abdullah HARMANCI

Dergi:

International Electronic Journal of Algebra 2012 Vol.11 Issue 11, pp.160-164

Belge Tipi:

Makale

Yayın Tarihi:

5/2012

Belge Dili:

Türkçe

Document ID (Org No.):

2000718290

Sıklık:

Aylık

eISSN:

1306-6048

pISSN:

1306-6048