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
收藏
页码：273 / 287
页数：15
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