On the p-supersolubility of a finite group with a Aμ-supplemented sylow p-subgroup

被引：16

作者：

Monakhov, V. S. ^{[1
]}

Shnyparkov, A. V. ^{[1
]}

机构：

[1] Gomel State Univ, Gomel, BELARUS

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2009年 / 50卷 / 04期

关键词：

finite group; supersoluble group; Sylow subgroup; supplement;

D O I：

10.1007/s11202-009-0077-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A subgroup H of a group G is called A mu-supplemented in G if there exists a subgroup K such that G = HK and H (1) K is a proper subgroup in G for every maximal subgroup H (1) in H. For the initial values of p, we establish the p-supersolubility of a finite group with a mu-supplemented Sylow p-subgroup.

引用

页码：681 / 686

页数：6