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A note on commuting graphs for general linear groups

Yıl 2019, Cilt: 48 Sayı: 6, 1635 - 1641, 08.12.2019

Öz

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

Kaynakça

  • [1] P.J. Cameron and Q. Mary, Automorphisms of graphs, London E14Ns, U.K. Draft, 2001.
  • [2] M. Chudnovsky, N. Robertson, P. Seymour and R. Thomas, The strong perfect graph theorem, Ann. of Math. (2), 164 (1), 51–229, 2006.
  • [3] H. Poliatsek, Irreducible Groups Generated by Transvections over Finite Fields of Characteristic Two, J. Algebra, 39, 328–333, 1976.
  • [4] J.J. Rotman, An Introduction to the Theory of groups, Springer-Verlag Newyork, Inc. 1995.
Yıl 2019, Cilt: 48 Sayı: 6, 1635 - 1641, 08.12.2019

Öz

Kaynakça

  • [1] P.J. Cameron and Q. Mary, Automorphisms of graphs, London E14Ns, U.K. Draft, 2001.
  • [2] M. Chudnovsky, N. Robertson, P. Seymour and R. Thomas, The strong perfect graph theorem, Ann. of Math. (2), 164 (1), 51–229, 2006.
  • [3] H. Poliatsek, Irreducible Groups Generated by Transvections over Finite Fields of Characteristic Two, J. Algebra, 39, 328–333, 1976.
  • [4] J.J. Rotman, An Introduction to the Theory of groups, Springer-Verlag Newyork, Inc. 1995.
Toplam 4 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Matematik
Yazarlar

Maryam Nasiri Bu kişi benim 0000-0001-6254-0860

Sayyed Heidar Jafari Bu kişi benim 0000-0002-6745-0087

Yayımlanma Tarihi 8 Aralık 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 48 Sayı: 6

Kaynak Göster

APA Nasiri, M., & Jafari, S. H. (2019). A note on commuting graphs for general linear groups. Hacettepe Journal of Mathematics and Statistics, 48(6), 1635-1641.
AMA Nasiri M, Jafari SH. A note on commuting graphs for general linear groups. Hacettepe Journal of Mathematics and Statistics. Aralık 2019;48(6):1635-1641.
Chicago Nasiri, Maryam, ve Sayyed Heidar Jafari. “A Note on Commuting Graphs for General Linear Groups”. Hacettepe Journal of Mathematics and Statistics 48, sy. 6 (Aralık 2019): 1635-41.
EndNote Nasiri M, Jafari SH (01 Aralık 2019) A note on commuting graphs for general linear groups. Hacettepe Journal of Mathematics and Statistics 48 6 1635–1641.
IEEE M. Nasiri ve S. H. Jafari, “A note on commuting graphs for general linear groups”, Hacettepe Journal of Mathematics and Statistics, c. 48, sy. 6, ss. 1635–1641, 2019.
ISNAD Nasiri, Maryam - Jafari, Sayyed Heidar. “A Note on Commuting Graphs for General Linear Groups”. Hacettepe Journal of Mathematics and Statistics 48/6 (Aralık 2019), 1635-1641.
JAMA Nasiri M, Jafari SH. A note on commuting graphs for general linear groups. Hacettepe Journal of Mathematics and Statistics. 2019;48:1635–1641.
MLA Nasiri, Maryam ve Sayyed Heidar Jafari. “A Note on Commuting Graphs for General Linear Groups”. Hacettepe Journal of Mathematics and Statistics, c. 48, sy. 6, 2019, ss. 1635-41.
Vancouver Nasiri M, Jafari SH. A note on commuting graphs for general linear groups. Hacettepe Journal of Mathematics and Statistics. 2019;48(6):1635-41.