Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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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
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Abstract

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.

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References

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