[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2015.52.2.363

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)

Publication Information

Bulletin of the Korean Mathematical Society / v.52, no.2, 2015 , pp. 363-366 More about this Journal

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.

Keywords

solvable group; character; fitting subgroup; non-vanishing element;

Citations & Related Records

Reference

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