Intersection graph of subgroups of some non-abelian groups

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DOI:

https://doi.org/10.26637/mjm402/007

Abstract

The intersection graph of subgroups of a group \(G\) is a graph whose vertex set is the set of all proper subgroups of \(G\) and two distinct vertices are adjacent if and only if their intersection is non-trivial. In this paper, we obtain the clique number and degree of vertices of intersection graph of subgroups of dihedral group, quaternion group and quasi-dihedral group.

Keywords:

Intersection graph, subgroups, non-abelian groups

Mathematics Subject Classification:

05C25, 05C10, 20F16
  • R. Rajkumar Department of Mathematics, The Gandhigram Rural Institute – Deemed University, Gandhigram – 624 302, Tamil Nadu, India. https://orcid.org/0000-0001-7096-7901
  • P. Devi Department of Mathematics, The Gandhigram Rural Institute – Deemed University, Gandhigram – 624 302, Tamil Nadu, India.
  • Pages: 238-242
  • Date Published: 01-04-2016
  • Vol. 4 No. 02 (2016): Malaya Journal of Matematik (MJM)

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Published

01-04-2016

How to Cite

R. Rajkumar, and P. Devi. “Intersection Graph of Subgroups of Some Non-Abelian Groups”. Malaya Journal of Matematik, vol. 4, no. 02, Apr. 2016, pp. 238-42, doi:10.26637/mjm402/007.

Issue

Vol. 4 No. 02 (2016): Malaya Journal of Matematik (MJM)

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Copyright (c) 2016 MJM

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