Some results on the graph associated to centralizer of elements of a group
S. S. Mahroughissmahroughi@znu.ac.irDepartment of MathematicsFaculty of SciencesUniversity of ZanjanZanjan, P. O. Box 45371-38791, Iran0009-0003-7731-1843View full profile → , S. M. Jafarian Amirism_jafarian@znu.ac.irDepartment of MathematicsFaculty of SciencesUniversity of ZanjanZanjan, P. O. Box 45371-38791, Iran0009-0007-3146-1677View full profile → , *A. ErfanianCorresponding authorerfanian@um.ac.irDepartment of Pure MathematicsCentre of Excellence in Analysis on Algebraic Structures, Faculty of Mathematical SciencesFerdowsi University of MashhadMashhad, Iran0000-0002-9637-1417View full profile →
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- Received:
- 01 Dec 2024
- Published Online:
- 27 Aug 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JDMSC-2400
- Pages:
- 1–13
Abstract
The aim of this paper is to give some results on the graph associated to a finite group G and subset S of G – Z(G) as defined in [9] with vertex set consisting are all elements in G – (Z(G) ∪ S). Two distinct vertices x and y are adjacent if and only there exists an element s ∈ S such that [x, s] = [y, s] = 1, where [x, s] = x–1 s–1 xs is the commutator of elements x and s. The results stated here are mostly new or an improvement of results give in the above paper.
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References
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