Unit graphs and subgraphs of Symmetric, Quaternion and Heisenberg groups

Abstract

We represent finite group in the form of a graph, these graphs are called unit graph. In this paper we shall study unit graphs of Symmetric, Quaternion and Heisenberg groups. Also study of different properties like the subgroups of a group, normal subgroups of a group are carried out using the unit graph of the group.

Keywords:

• Symmetric group
• Quaternion group
• Heisenberg group
• Graphs
• Subgraphs

2010 AMS subject classifications:

• 68R10
• 97K30
• 20B05
• 20B30