- Volume 52 Issue 2
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TWO APPLICATIONS OF LEWIS' THEOREM ON CHARACTER DEGREE GRAPHS OF SOLVABLE GROUPS
- He, Liguo (Department of Mathematics Shenyang University of Technology) ;
- Zhao, Yuanhe (Department of Mathematics Shenyang University of Technology) ;
- Bi, Jianxing (Department of Mathematics Shenyang University of Technology)
- Received : 2013.03.31
- Published : 2015.03.31
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.
Supported by : NSF of China
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