The Non-Coprime Graph of Finite Groups

Autor: Gholamreza Aghababaei-Beni, Abbas Jafarzadeh
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Mathematics Interdisciplinary Research, Vol 7, Iss 4, Pp 385-394 (2022)
Druh dokumentu: article
ISSN: 2476-4965
DOI: 10.22052/mir.2019.172393.1117
Popis: The non-coprime graph Π_G 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.
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