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TWO APPLICATIONS OF LEWIS' THEOREM ON CHARACTER DEGREE GRAPHS OF SOLVABLE GROUPS
He, Liguo,Zhao, Yuanhe,Bi, Jianxing Korean Mathematical Society 2015 대한수학회보 Vol.52 No.2
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.
TWO APPLICATIONS OF LEWIS’ THEOREM ON CHARACTER DEGREE GRAPHS OF SOLVABLE GROUPS
Liguo He,Yuanhe Zhao,Jianxing Bi 대한수학회 2015 대한수학회보 Vol.52 No.2
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.