On groups with formational subnormal Sylow subgroups

被引：5

作者：

Monakhov, Victor S. ^{[1
]}

Sokhor, Irina L. ^{[1
]}

机构：

[1] Francisk Skorina Gomel State Univ, Dept Math & Programming Technol, Sovetskaya Str 104, Gomel 246019, BELARUS

来源：

JOURNAL OF GROUP THEORY | 2018年 / 21卷 / 02期

关键词：

FINITE-GROUPS;

D O I：

10.1515/jgth-2017-0039

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate a finite group G with F-subnormal Sylow subgroups, where F is a subgroup-closed formation and U1U subset of F subset of NA. We prove that G is soluble and the derived subgroup of each metanilpotent subgroup is nilpotent. We also describe the structure of groups in which every Sylow subgroup is F-subnormal or F-abnormal.

引用

页码：273 / 287

页数：15

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