Conjectures that Solvable Groups whose Character Graphs having Diameter 3 Satisfy
Bull. Korean Math. Soc.
Published online 2018 Sep 07
Qingyun Meng
College of Sciences, Henan University of Technology
Abstract : 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
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