The non-coprime graph of a finite group with respect to a subgroup
Keywords:
non-coprime graph, nilpotent group, Mathieu groupAbstract
The non-coprime graph ΠG,H of a finite group G with respect to a subgroup H is a simple graph with G \ {e} as the vertex set. Two vertices u and v of this graph are adjacent if and only if (|u|,|v|) ≠ 1 and (u ∈ H or v ∈ H). In this paper, the main properties of this graph are obtained. The isomorphism problem of this graph is also investigated for nilpotent groups.
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Published
2019-07-30
How to Cite
Aghababaei, G., Ashrafi, A. R., & Jafarzadeh, A. (2019). The non-coprime graph of a finite group with respect to a subgroup. Italian Journal of Pure and Applied Mathematics, 42, 25–35. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7266
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Section
Articoli - Forum Editrice
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Copyright (c) 2019 Gholamreza Aghababaei, Ali Reza Ashrafi, Abbas Jafarzadeh
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
