Semidirect product of power graphs of groups
In this article, we introduce the semidirect product of the power graphs of two groups. Then we prove that the power graph of the semidirect product of two groups is the semidirect product of their corresponding power graphs. In certain special cases, we provide a necessary and sufficient condition for the non-adjacency of vertices in the product graph.
Authors
- Sudipta Mallik (ORCID: https://orcid.org/0000-0001-7496-2147)
- Swarup N. Ghosh (ORCID: https://orcid.org/0000-0001-9247-311X)
Publication Details
- Journal
- Journal of Algebra and Its Applications
- Published
- 2026-11-03
- DOI
- https://doi.org/10.1142/s0219498828501034
- Primary Topic
- Finite Group Theory Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00