On finite factorized groups with permutable subgroups of factors

被引：2
|
作者：
Monakhov, Victor S. [1 ]
Trofimuk, Alexander A. [1 ]
机构：
[1] Francisk Skorina Gomel State Univ, Dept Math & Programming Technol, Gomel 246019, BELARUS
来源：
ARCHIV DER MATHEMATIK | 2021年 / 116卷 / 03期
关键词：
Mutually permutable subgroups; Sylow subgroups; msp-Permutable subgroups; Supersoluble groups;
D O I：
10.1007/s00013-020-01535-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Two subgroupsAandBof a group Gare called msp-permutable if the following statements hold:AB is a subgroup of G; the subgroupsPandQare mutually permutable, whereP is an arbitrary Sylowp-subgroup of AandQ is an arbitrary Sylowq-subgroup of B, p not equal q. In the present paper, we investigate groups that are factorized by two msp-permutable subgroups. In particular, the supersolubility of the product of two supersoluble msp-permutable subgroups is proved.
引用
收藏
页码：241 / 249
页数：9
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