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}.
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页码：747 / 754
页数：8
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