FINITE GROUPS WITH SEMINORMAL OR ABNORMAL SYLOW SUBGROUPS

被引：1

作者：

Monakhov, Victor ^{[1
]}

Sokhor, Irina ^{[2
]}

机构：

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

[2] Brest State AS Pushkin Univ, Phys & Math Dept, Kosmonavtov Blvd 21, Brest 224016, BELARUS

来源：

INTERNATIONAL JOURNAL OF GROUP THEORY | 2020年 / 9卷 / 03期

关键词：

Finite group; Sylow subgroup; abnormal subgroup; seminormal subgroup;

D O I：

10.22108/ijgt.2018.112602.1500

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a finite group in which every Sylow subgroup is seminormal or abnormal. We prove that G has a Sylow tower. We establish that if a group has a maximal subgroup with Sylow subgroups under the same conditions, then this group is soluble.

引用

页码：139 / 142

页数：4

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