NEW CRITERIA FOR p-NILPOTENCE OF FINITE GROUPS

被引：0

作者：

Liu, Shitian ^{[1
]}

机构：

[1] Sichuan Univ Sci & Engn, Sch Sci, Zigong 643000, Peoples R China

来源：

INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA | 2010年 / 7卷

关键词：

F(G)-g pronormal subgroups; Sylow p-subgroup; maximal sub-groups; p-nilpotence;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A subgroup H is X-g pronormal in G if, for H, X <= G and g is an element of G, H boolean AND X and H-9 boolean AND X are conjugate in J = < H boolean AND X, H-9 boolean AND X >. In this paper, we investigate the structure of a finite group G under the assumption that certain subgroups are X-g pronormal, where X = F(G) is the Fitting subgroup of G.

引用

页码：120 / 127

页数：8

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