1) F-S-supplemented subgroup
F-S-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。
2) F-S-complemented
F-S-可补
3) weakly s-supplemented subgroup
弱s可补充子群
4) weakly s-supplemented subgroups
弱s-补子群
5) 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 。
6) F-s-supplement
F-s-补
1.
If K≤G such that HK=G and K/HG∩K∈F,then H is called F-s-supplemented in G.
K称为H在G中的F-s-补。
2.
We characterize the structure of finite group G under the assumpations that minimal subgroups of Fitting subgroup and generalized Fitting subgroup of G are F-s-supplemented,and have the following new results: Let F be a saturated formation containing U and let G be a finite group.
利用群G的F itting子群、广义F itting子群的极小子群F-s-补条件刻划群G的结构,得到新的结果,即:设F是含U的饱和群系,G是一有限群,则G∈F的充分必要条件是存在G的可解正规子群N(或正规子群N)使得G/N∈F且F(N)(或F*(G))的所有素数阶子群在G中均有超可解-s-补。
3.
Using F-S-supplement of the minimal subgroups and the minimal counterexample method,the p-nilpotency of finite groups is investigated.
利用极小子群的F-S-补及极小阶反例法,研究有限群的p-幂零性问题,得到有限群为p-幂零的若干新判据。
补充资料：单参数子群
单参数子群
one-parameter subgroup
单参数子群〔泄·脚.”州甘，魄”甲;呱”ou叩明eTp”-业一no月rpy，aJ，赋范域K上球群G的 域K的加法群到G的解析同态，即解析映射献K~G，满足 。(s+r)二:(s):(t)，s，t〔K.这个同态的象是G的子群，也称为单参数子群.如果K二R，则由同态献K~G的连续性可推出它是解析的.如果K=R或C，则对于任意G在点e处的切向量X‘双G，存在唯一的单参数子群献K~G以X作为其在点t=O处的切向量.这里，(t)=cxp tX，作K，Cxp:兀G~G是指数映射(expo理而a】mapp川g).特别地，一般线性群(罗璐阁址篮翔比gro叩)G”GL(n，K)的任一单参数子群形如 ·‘亡，一p‘X一。氰告:·x:如果G是一个具有双边不变的伪Rlerr.nn度量或仿射联络的实L记群，则G的单参数子群是通过单位元e的测地线.
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