Bull. Korean Math. Soc. 2019; 56(2): 501-504
Online first article September 7, 2018 Printed March 1, 2019
https://doi.org/10.4134/BKMS.b180353
Copyright © The Korean Mathematical Society.
Qingyun Meng
Henan University of Technology
In this note, we prove that Gluck's conjecture, Isaacs-Navarro -Wolf Conjecture and Taketa's inequality are true for solvable groups whose character graphs having diameter 3.
Keywords: finite solvable groups, character graphs, diameter 3, conjectures
MSC numbers: 20C15
Supported by: This work was supported by China Scholarship Council(CSC)and National Science Foundation Council (NSFC)(Grant Nos. 11601121, 11771356) and Science Foundation of Henan University of Technology (Grant No. 31490036)
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