A note on commuting graphs for general linear groups

Maryam NASİRİ; Sayyed Heidar JAFARİ

Makale detayları

A note on commuting graphs for general linear groups

Yazarlar:

Maryam NASİRİ | Sayyed Heidar JAFARİ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 6, pp.1635-1641

Belge Tipi:

Makale

Yayın Tarihi:

12/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000451325

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

Özet:

 

Let GGG be a group and XXX a subset of GGG. Then C(G,X)C(G,X)\mathcal{C}(G, X) is a graph with vertex set XXX in which two distinct elements xxx, y∈Xy∈Xy\in X are joined by an edge if xy=yxxy=yxxy=yx. In this paper, we study the clique number, the domination number, the diameter, the planarity, the perfection and regularity of C(G,X)C(G,X)\mathcal{C}(G, X) where G=GL(n,q)G=GL(n,q)G=GL(n,q) and XXX is the set of transvections.

Makale detayları

A note on commuting graphs for general linear groups

Yazarlar: Maryam NASİRİ | Sayyed Heidar JAFARİ

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 6, pp.1635-1641

Belge Tipi: Makale

Yayın Tarihi: 12/2019

Belge Dili: İngilizce

Document ID (Org No.): 2000451325

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

Sayı

Yazarlar:

Maryam NASİRİ | Sayyed Heidar JAFARİ

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2019 Vol.48 Issue 6, pp.1635-1641

Belge Tipi:

Makale

Yayın Tarihi:

12/2019

Belge Dili:

İngilizce

Document ID (Org No.):

2000451325

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X