GROUPS WITH FOUR CHARACTER DEGREES AND DERIVED LENGTH FOUR

被引：2

作者：

Du, Ni ^{[1
]}

Lewis, Mark L. ^{[2
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen, Fujian, Peoples R China

[2] Kent State Univ, Dept Math Sci, Kent, OH 44266 USA

来源：

基金：

中国国家自然科学基金;

关键词：

Character degrees; Derived length; The Isaacs-Seitz conjecture; The Taketa problem; SOLVABLE-GROUPS; NORMAL-SUBGROUPS;

D O I：

10.1080/00927872.2014.934461

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we consider solvable groups that have four character degrees and derived length four.

引用

页码：4660 / 4673

页数：14

共 20 条

[1] Berkovich Y. G., 1999, CHARACTERS FINITE 2
[2] The Magma algebra system .1. The user language
Bosma, W
Cannon, J
Playoust, C
[J]. JOURNAL OF SYMBOLIC COMPUTATION, 1997, 24 (3-4) : 235 - 265
[3] Garrison S., 1973, On groups with a small number of character degrees
[4] Huppert B., 1998, CHARACTER THEORY FIN
[5] HUPPERT B, 1983, ENDLICHE GRUPPEN, V1
[6] COPRIME GROUP-ACTIONS FIXING ALL NONLINEAR IRREDUCIBLE CHARACTERS
ISAACS, IM
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1989, 41 (01): : 68 - 82
[7] HALF-TRANSITIVE AUTOMORPHISM GROUPS
ISAACS, IM
PASSMAN, DS
[J]. CANADIAN JOURNAL OF MATHEMATICS, 1966, 18 (06): : 1243 - &
[8] Irreducible character degrees and normal subgroups
Isaacs, IM
Knutson, G
[J]. JOURNAL OF ALGEBRA, 1998, 199 (01) : 302 - 326
[9] Large orbits in actions of nilpotent groups
Isaacs, IM
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (01) : 45 - 50
[10] Isaacs IM., 1976, CHARACTER THEORY FIN, V69