English translation for "nilpotent group"

幂零群

Related Translations:

nilpotent:  幂零的幂零元

nilpotent radical:  幂零根基

nilpotent transformation:  幂零变换

nilpotent semigroup:  幂零半群

nilpotent class:  幂零类

nilpotent operator:  幂零算子

nilpotent algebra:  幂零代数

connected nilpotent:  连通幂零

nilpotent element:  幂零元素

nilpotent kernel:  幂零核

Example Sentences:

	1.	Some sufficient and necessary conditions of - nilpotent group 幂零群的几个充要条件
	2.	Theorem 3 . 10 if g is locally nilpotent group and c * - group , then g is baer nilpotent and hypercentral group 定理3若局部幂零群g是c二群，则g是baer幂零而且是超限上中心群
	3.	Theorem 3 . 11 if g is torsion locally nilpotent group and c ( p ) - group , then the nilpotent class of g is at most 3 定理3 11若周期的局部幂零群g是c ” …卜群，则g的类最多为3
	4.	So we can easily obtain nilpotent class of s * ( a * , c * ) - groups and the structure of their derived subgroup in the case of torsion and locally nilpotent group 从而进一步得到了周期的局部幂零群的幂零类及导群的结构。
	5.	At the same time , we get some new characterization of supersolvable and nilpotent groups by introduce the new concepts of u ( g ) and v ( g ) . the following theorems are some of the main results in this thesis . 1 特别地，引进群g的两个特征子群u ( g )及v ( g ) ，用这两个子群来刻划有限群的结构，得到了有限群超可解，幂零的一些充分条件，减弱了某些已知定理的条件
	6.	It is important to study the structures of finite groups by combining some subgroups with some properties in the researches on finite groups . in this paper , we discuss the following : ( 1 ) the relations between the - pairs of maximal subgroups and c - normality , weak c - normality , s - normality , the normal index of maximal subgroups ; ( 2 ) some results on solvablity of finite groups that are obtained by using the s - normality of subgroups ; ( 3 ) the - pairs of general proper subgroups of finite groups as the generalization of the - pairs of maximal subgroups that is used to describe c - normal subgroups , weak c - normal subgroups and s - normal subgroups , by which some new results on finite groups are obtained ; ( 4 ) some new results on p - quasinilpotent groups and p * - nilpotent groups 本文在前人的基础上，讨论了以下内容： ( 1 )极大子群的子群偶和c正规性、弱c正规性、 s正规性、正规指数之间的关系； ( 2 )利用s正规性得到了关于有限群可解性的几个结果； ( 3 )将极大子群的子群偶推广为有限群的一般真子群的偶，证明了有限群的c正规、弱c正规以及s正规子群都可以用一般真子群的偶来描述和几个新的结果； ( 4 )研究p拟幂零群和p ~ *幂零群，得到了一些新的结构定理。

Similar Words：

"nilpotent" English translation, "nilpotent algebra" English translation, "nilpotent class" English translation, "nilpotent element" English translation, "nilpotent endomorphism" English translation, "nilpotent ideal" English translation, "nilpotent kernel" English translation, "nilpotent length" English translation, "nilpotent matrix" English translation, "nilpotent operator" English translation