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：
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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.
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页码：335 / 354
页数：19
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