Bull. Korean Math. Soc. 2015; 52(2): 363-366
Printed March 31, 2015
https://doi.org/10.4134/BKMS.2015.52.2.363
Copyright © The Korean Mathematical Society.
Liguo He, Yuanhe Zhao, and Jianxing Bi
Shenyang University of Technology, Shenyang University of Technology, Liaoning University
In this note, we prove Gluck's conjecture and Isaacs-Navarro-Wolf Conjecture are true for the solvable groups with disconnected graphs by using Lewis' group structure theorem with respect to the disconnected character degree graphs.
Keywords: solvable group, character, fitting subgroup, non-vanishing element
MSC numbers: Primary 20C15
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