1) maximal finite grou
极大有限子群
2) finite subgroup
有限子群
1.
It is shown that there are 6 classes finite subgroups on the infinite group R_o except for the identity group.
过定点O的旋转群Ro是无限群,从视直线为旋转轴出发讨论,Ro的有限子群(除单位元群外)共有6种类型。
3) maximal subgroup
极大子群
1.
A type of maximal subgroups of special orthogonal groups over local rings;
局部环上特殊正交群的一类极大子群
2.
Classification of finite groups whose maximal subgroups are Dedekind groups.;
极大子群均为Dedekind群的群
3.
Characterization of Sporadic Simple Groups with the Orders of Groups and the Sets of Indexes of Maximal Subgroups;
用阶和极大子群指数之集刻划散在单群
4) maximal subgroups
极大子群
1.
On the Intersection of Two Special Maximal Subgroups;
两类特殊的极大子群的交
2.
On the s-θ-completions of maximal subgroups and the π-solvability of a finite group
有限群极大子群的s-θ-完备与π-可解性
3.
Studied the solvabilty of finite group by the theta pairs of only one special maximal subgroups,obtained a series of new results about the solvability of finite group.
主要研究有限群的某一类特殊的极大子群,并且考察这类极大子群的θ-子群偶对该有限群结构的影响,从而得出有限群可解的几个充分条件。
5) n-maximal subgroups
n-极大子群
1.
Finite groups some of whose n-maximal subgroups are conjugate-permutable;
n-极大子群为共轭可换的有限群
2.
The effect of n-maximal subgroups on the structures of the finite groups whose n-maximal subgroups were subnormal was studied.
研究了有限群G的n-极大子群均在G中次正规时对群G结构的影响,得到群G可解的若干充分条件和群G的一些性质,推广了文献[1,4]的主要结果。
6) maximal subsemigroup
极大子半群
1.
For n≥3,we obtained the structure of the maximal subsemigroups of L-classes and R-classes on D-classes Dr(2≤r≤n-1) of finite full transformation semigroup,and showed that these maximal subsemigroups are also the maximal subsemigroups of Dr.
主要讨论了全变换半群Tn的D-类Dr上的R-类,L-类的极大子半群结构,并且证明了这些极大子半群也是Dr的极大子半群。
补充资料：极大紧子群
极大紧子群
maximal compact subgroup
极大紧子群[叮.油般】c伽声Ct，纯r叨p;M毗，M幼I，H明KOMn毗“a，n叭印ynna」，拓扑群G的 一个紧子群(见紧群(comPact grouP))K CG，它不作为真子群被包含在G的任何紧子群内.例如，尤二50(n)对于G=SL(n，R)，K二{e}对于一个可解单连通Lie群G. 在任意群G里，极大紧子群不一定存在(例如，G“CL(V)，V是一个无限维Hilbert空间)，而一且即使存在，它们之间也可能有不同构的. Lie群的极大紧子群已被广泛地研究.如果G是一个连通Lie群，那么G的任意紧子群都被包含在某个极大紧子群内(特别，极大紧子群一定存在)，并且G的一切极大紧子群都是连通的且彼此共扼.群G的空间微分同胚于KxR”.因此，很多关于Lie群的拓扑问题都归结为紧玩群(Lie gro叩，com-pact)相应的问题.
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