A new notion derived from the deep commuting graph

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Science, Razi University, Kermanshah, Iran

2 Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran

10.22108/ijgt.2025.145983.1971

Abstract

The deep commuting graph of a given group $G$ is a graph whose vertex set is $G$, and two elements of $G$ are adjacent if their inverse images in every central extension of $G$ commute. In this paper, we introduce the concept of deep isoclinism for groups and tie this concept to the deep commuting graphs.

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References

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International Journal of Group Theory
Volume 15, Issue 3 - Serial Number 3
September 2026
Pages 135-144

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History

  • Receive Date: 15 July 2025
  • Revise Date: 31 July 2025
  • Accept Date: 01 August 2025
  • Published Online: 18 September 2025

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