西南师范大学学报（自然科学版）
西南師範大學學報（自然科學版）
서남사범대학학보（자연과학판）
JOURNAL OF SOUTHWEST CHINA NORMAL UNIVERSITY
2009年
5期
7-13
,共7页
Sylow子群%极大子群%极小子群%拟c-正规子群%p-幂零群
Sylow子群%極大子群%極小子群%擬c-正規子群%p-冪零群
Sylow자군%겁대자군%겁소자군%의c-정규자군%p-멱령군
sylow subgroups%maximal subgroups%minimal subgroups%quasi-c-normal subgroups%p-nilpotent groups
群G的子群H称为在G中拟c-正规,如果存在G的正规子群K,满足|G:KH|为素数幂且H∩K≤HG.利用拟c-正规的概念给出了p-幂零群的几个充要条件.
群G的子群H稱為在G中擬c-正規,如果存在G的正規子群K,滿足|G:KH|為素數冪且H∩K≤HG.利用擬c-正規的概唸給齣瞭p-冪零群的幾箇充要條件.
군G적자군H칭위재G중의c-정규,여과존재G적정규자군K,만족|G:KH|위소수멱차H∩K≤HG.이용의c-정규적개념급출료p-멱령군적궤개충요조건.
A subgroup H of a group G is said to be quasi- c -normal in G if these exists a normal subgroup K of G such that |G : HK| is a power of a prime and H∩K≤HG. In this paper, it is obtained that some necessary and sufficient conditions for p-nilpotent groups by means of the quasi-c-normality of some subgroups of a group G.
