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In this note, we prove that Gluck's conjecture, Isaacs-Navarro -Wolf Conjecture and Taketa's inequality are true for solvable groups whose character graphs having diameter 3.
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참고문헌 (11)
참고문헌 신청
C. Casolo / 2016 / Groups whose character degree graph has diameter three / Israel J. Math 215(2):523~558
D. Gluck / 1985 / The largest irreducible character degree of a nite group / Canad. J. Math 37(3):442~451
Liguo He / 2015 / TWO APPLICATIONS OF LEWIS’ THEOREM ON CHARACTER DEGREE GRAPHS OF SOLVABLE GROUPS / 대한수학회보 52(2):363~366
I. M. Isaacs / 1976 / Character Theory of Finite Groups / Academic Press
M. L. Lewis / 1998 / Derived lengths and character degrees / Proc. Amer. Math. Soc 126(7):1915~1921
D. Gluck / 1985 / The largest irreducible character degree of a nite group / Canad. J. Math 37(3):442~451
Liguo He / 2015 / TWO APPLICATIONS OF LEWIS’ THEOREM ON CHARACTER DEGREE GRAPHS OF SOLVABLE GROUPS / 대한수학회보 52(2):363~366
I. M. Isaacs / 1976 / Character Theory of Finite Groups / Academic Press
M. L. Lewis / 1998 / Derived lengths and character degrees / Proc. Amer. Math. Soc 126(7):1915~1921
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