Studying the result involution graphs for HS and McL Leech lattice groups

Jawad, Ali Talib; Aubad, Ali A.

doi:10.47974/JIM-1503

Open Access Research Article

Studying the result involution graphs for HS and McL Leech lattice groups

^*Ali Talib JawadCorresponding authorali.taleb1203a@sc.uobaghdad.edu.iqDepartment of Mathematics College of Science University of BaghdadBaghdad, IraqView full profile → , Ali A. Aubadali.abd@sc.uobaghdad.edu.iqDepartment of Mathematics College of Science University of BaghdadDepartment of Mathematics College of Science University of BaghdadBaghdad, IraqView full profile →

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pp. 829–834Vol. 26Issue 5August 2023DOI: 10.47974/JIM-1503XML

Received:: 10 Mar 2022
Accepted:: 07 Apr 2022
Published Online:: 15 Jul 2023
Article type:: Research Article
Language:: EN
Article no.:: JIM-1503
Pages:: 829–834

Abstract

Let G be a finite group, the result is the involution graph of G, which is an undirected simple graph denoted by the group G as the vertex set and x, y ∈ G adjacent if xy and (xy)2 = 1. In this article, we investigate certain properties of G, the Leech lattice groups HS and McL. The study involves calculating the diameter, the radius, and the girth of ΓGRI.

Keywords

Leech lattice Group Result Involution Graph Connectedness Girth and Market share

Subject Classifications

Primary 05C25Secondary 20D08

Acknowledgements

Obaid (35_icmas_h2)

References

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