Some Character Degree Conditions Implying Solvability of Finite Groups

被引：5

作者：

Aziziheris, Kamal ^{[1
,2
,3
]}

机构：

[1] Univ Tabriz, Dept Math Sci, Tabriz, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

[3] Texas State Univ, Dept Math, San Marcos, TX 78666 USA

来源：

ALGEBRAS AND REPRESENTATION THEORY | 2013年 / 16卷 / 03期

关键词：

Character degree; Solvable group; Nonsolvable group; Simple group; Almost simple group; NONSOLVABLE GROUPS; SETS;

D O I：

10.1007/s10468-011-9328-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let cd(G) be the set of all irreducible complex character degrees of a finite group G. In this paper, we show that if a, b, and c are pairwise relatively prime integers and , then either G is solvable or {a, b, c} = {2 (f) -aEuro parts per thousand 1, 2 (f) , 2 (f) + 1} for some and cd (G) = {1, a, b, c}.

引用

页码：747 / 754

页数：8

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