A new notion derived from the deep commuting graph
نویسندگان
1 Department of Mathematics, Faculty of Science, Razi University, Kermanshah, Iran
2 Department of Mathematics, Faculty of Science, Razi University, Kermanshah, Iran
3 Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran
doi
10.22108/ijgt.2025.145983.1971چکیده
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.
