1) c-supplemented subgroup
c-可补子群
2) c-supplement subgroup
c-补子群
3) complemented subgroup
可补子群
1.
The purpose of this paper is to generalize two supersolvability theorems obtained by LI De-yu and GUO Xiu-yun with respect to complemented subgroups of finite groups.
该文目的是推广由李德玉和郭秀云得到的有关可补子群的两个超可解性定理 。
4) π-supplemented subgroups
π-可补子群
1.
In chapter 1 ,on one hand ,we give some sufficient conditions for a finite group to be supersolvable and nilipotent by using the properties of π-supplemented subgroups;For examp.
在第一章中,一方面我们利用π-可补子群的性质给出了有限群为超可解群及幂零群的若干充分条件; 例如:定理3设G是群,2∈π,如果G的每个素数阶子群包含在SE(G)中,G的每个4阶循环子群在G中π-可补,则G为超可解群。
2.
The influence of π-supplemented subgroups on the structure of finite groups;
研究了π-可补子群的一些性质,并利用群G的Sylowp-子群的极大和极小子群的π-可补性,给出了群G为p-幂零群的一些条件。
5) Q-supplemented subgroup
Q-可补子群
1.
The purpose of this paper is to study the influence of F-s-supplemented subgroups and Q-supplemented subgroups on the structure of finite groups such as p-nilpotency,supper solvability.
本文的主要目的是研究F-s-可补子群和Q-可补子群对有限群结构(p-幂零性,超可解)的影响。
6) c-permutable subgroup
完全c-可换子群
1.
Using the concept,completely c-permutable subgroup of finite groups,two sufficient conditions of nilpotent groups was obtained:(1)If any cyclic subgroup ofG of order 4 is completely c-permutable inG and any minimal subgroup ofG is contained in the hypercenter ofG,thenG is a nilpotent group.
利用完全c-可换子群的概念,得到了幂零群的2个充分条件:(1)如果群G的4阶循环子群在G中完全c-可换且G的任意极小子群含于Z∞(G)中,那么G是幂零群;(2)设N■G且G/N是幂零群。
补充资料：小补
1.小小的补益。 2.缝补小破绽处。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条