Intersection graph of subgroups of some non-abelian groups

R. Rajkumar a,∗ and P. Devi b

Intersection graph of subgroups of some non-abelian groups

Authors :

R. Rajkumar ^a,∗ and P. Devi^b

Author Address :

^a,b Department of Mathematics, The Gandhigram Rural Institute – Deemed University, Gandhigram – 624 302, Tamil Nadu, India.

*Corresponding author.

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.

DOI :

Article Info :

Received : October 22, 2015; Accepted : March 24, 2016.