English

Normal subgroups whose conjugacy class graph has diameter three

Group Theory 2024-02-13 v1

Abstract

Let GG be a finite group and NN a normal subgroup of GG. We determine the structure of NN when the diameter of the graph associated to the GG-conjugacy classes contained in NN is as large as possible, that is, is equal to three.

Keywords

Cite

@article{arxiv.2402.06705,
  title  = {Normal subgroups whose conjugacy class graph has diameter three},
  author = {Antonio Beltrán and María José Felipe and Carmen Melchor},
  journal= {arXiv preprint arXiv:2402.06705},
  year   = {2024}
}
R2 v1 2026-06-28T14:44:30.980Z