IJAM: Volume 38, No. 1 (2025)

DOI: 10.12732/ijam.v38i1.4

PERM-GRAPH OF FINITE GROUPS

Bilal N. Al-Hasanat 1, Ibrahim A. Jawarneh 2

Department of Mathematics

Al Hussein Bin Talal University Ma’an

JORDAN

Abstract. Let G be a finite group and K and H be two subgroups of G. Then K permutes with H if and only if KH = HK. The Perm-graph of a finite

group G is the graph Γ_G whose vertices set is the set of all subgroups of G, and two distinct vertices H_1 and H_2 are adjacent if and only if they

are permute. In this article we will introduce the Perm-graph of finite groups, which is a new graph representation of finite groups. Then we

discuss some properties of such graph in order to show how it detects the properties of the group itself.

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How to cite this paper?
DOI: 10.12732/ijam.v38i1.4
Source: International Journal of Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2025
Volume: 38
Issue: 1

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Applied Mathematics & Information Sciences, Accepted, 2024.

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