CONDITIONS FOR p-SUPERSOLUBILITY AND p-NILPOTENCY OF FINITE SOLUBLE GROUPS

被引：0

作者：

Yan, Wenai ^{[1
]}

Li, Baojun ^{[1
]}

Zhang, Zhirang ^{[1
]}

机构：

[1] Chengdu Univ Informat Technol, Coll Math, Chengdu 610225, Peoples R China

来源：

COLLOQUIUM MATHEMATICUM | 2013年 / 133卷 / 01期

关键词：

3-permutably embedded; supplements; p-supersoluble; p-nilpotent; PERMUTABLE SUBGROUPS; MAXIMAL-SUBGROUPS; SYLOW SUBGROUPS;

D O I：

10.4064/cm133-1-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let 3 be a complete set of Sylow subgroups of a group G. A subgroup H of G is called 3-permutably embedded in G if every Sylow subgroup of H is also a Sylow subgroup of some 3-permutable subgroup of G. By using this concept, we obtain some new criteria of p-supersolubility and p-nilpotency of a finite group.

引用

页码：85 / 98

页数：14

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