Finite Groups with a Given Set of Character Degrees

被引：0

作者：

Farideh Shafiei

Ali Iranmanesh

Mark L. Lewis

Kamal Aziziheris

机构：

[1] Tarbiat Modares University,Department of Mathematics, Faculty of Mathematical Sciences

[2] Kent State University,Department of Mathematical Sciences

[3] University of Tabriz,Department of Mathematical Sciences

[4] School of Mathematics,undefined

[5] Institute for Research in Fundamental Sciences(IPM),undefined

来源：

Algebras and Representation Theory | 2016年 / 19卷

关键词：

Finite groups; Solvable groups; Character degrees; Derived length; Taketa inequality; 20C15; 20D05; 20D10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let G be a finite group with {1, q, r, qm, q2m, rqm} as the character degree set, where r and q are distinct primes and m>1 is an integer not divisible by q or r. We show that G is solvable and the derived length of G equals 3.

引用

页码：335 / 354

页数：19

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