Derived lengths and character degrees

被引：11

作者：

Lewis, ML ^{[1
]}

机构：

[1] Kent State Univ, Dept Math & Comp Sci, Kent, OH 44242 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 126卷 / 07期

关键词：

D O I：

10.1090/S0002-9939-98-04391-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let G be a finite solvable group. Assume that the degree graph of G has exactly two connected components that do not contain 1. Suppose that one of these connected components contains the subset {a(1), ..., a(n}), where a(i) and a(j) are coprime when i not equal i. Then the derived length of G is less than or equal to \cd(G)\ - n + 1.

引用

页码：1915 / 1921

页数：7

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