Title of article
The Non-Coprime Graph of Finite Groups
Author/Authors
Aghababaei-Beni ، Gholamreza Department of Pure Mathematics - Ferdowsi University of Mashhad,International Campus , Jafarzadeh ، Abbas Department of Mathematics - Quchan University of Technology
From page
385
To page
394
Abstract
The non-coprime graph ΠG of a finite group G is a graph with the vertexset G\{e}, where two distinct vertices u and v are adjacent if they havenon-coprime orders. In this paper, the main properties of the Cartesian andtensor product of the non-coprime graph of two finite groups are investigated.We also describe the non-coprime graph of some special groups including thedihedral and semi-dihedral groups. Some open questions are also proposed.
Keywords
Coprime graph , dihedral group , semi-dihedral group , dicyclic group
Journal title
Mathematics Interdisciplinary Research
Journal title
Mathematics Interdisciplinary Research
Record number
2737448
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