The Taketa Problem and Character Degree Graphs with Diameter Three

被引：0

作者：

Mark L. Lewis

Catherine B. Sass

机构：

[1] Kent State University,Department of Mathematical Sciences

[2] Texas State University,Department of Mathematics

来源：

Algebras and Representation Theory | 2015年 / 18卷

关键词：

Solvable groups; Derived length; Character degrees; The Taketa problem; 20C15 (primary);

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let G be a solvable group and let Δ(G) be the character degree graph of G. The vertices of Δ(G) are the primes dividing character degrees of G and there is an edge between two primes if they divide a common character degree of G. In this paper, we show that the Taketa inequality dl(G) ≤ | cd(G)| holds when G is a solvable group whose degree graph Δ(G) has diameter 3.

引用

页码：1395 / 1399

页数：4

共 10 条

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[9]

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