Identity Intersection graph of a group

Authors

  • A. Sivagami Research Scholar, Reg No.20121272092007, Department of Mathematics, St. John’s College, Palayamkottai, Tamilnadu, India Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli - 627012, Tamilnadu, India
  • J. Vijaya Xavier Parthiban Department of Mathematics, St. John’s College, Palayamkottai, Tamilnadu, India

Keywords:

Identity Intersection graph, Star graph, finite group, p-Sylow subgroup.

Abstract

Let G be a group with identity e. The Identity Intersection graph ΓII(G) of G is a graph with V(ΓII(G))=G and two distinct vertices x and y are adjacent in ΓII(G) if and only if < x >∩ < y >= {e}, where < x >is the cyclic subgroup of G generated by x∈G. In this paper, we want to explore how the group theoretical properties of G can effect on the graph theoretical properties of ΓII(G). Some characterizations for fundamental properties of ΓII(G) have also been obtained.

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Published

2024-09-09

How to Cite

A. Sivagami, & J. Vijaya Xavier Parthiban. (2024). Identity Intersection graph of a group. Journal of Computational Analysis and Applications (JoCAAA), 33(08), 519–521. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/1364

Issue

Vol. 33 No. 08 (2024): JOCAAA

Section

Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.