Solvable groups with restrictions on Sylow subgroups of the Fitting subgroup

被引：1

作者：

Trofimuk, Alexander ^{[1
]}

机构：

[1] Brest State Univ, Dept Math, 21 Blvd Cosmonauts, Brest, BELARUS

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2016年 / 9卷 / 02期

关键词：

Fitting subgroup; normal rank; Sylow subgroups; A(4)-free groups; derived length; nilpotent length;

D O I：

10.1142/S1793557116500376

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study solvable groups in which r(n)(F) is at most 2. In particular, we investigated groups of odd order and A(4)-free groups with this property. Exact estimations of the derived length and nilpotent length of such groups are obtained.

引用

页数：6