幂零的

Dade made enormous researches on Coleman automorphism of a finite group and obtained a lot of initial results,especially proved that Coleman outer automorphism group is nilpotent.

E.C.Dade通过对有限群的Coleman自同构的大量研究得到了一系列开创性的结果，最重要的是证明了Coleman外自同构群是幂零群。

Since it is easy to determine the generators of the maximal subalgebra N, we only need to figure out the image of the automorphism φ which applies on these generators.

事实上，极大幂零子代数N的生成元是很容易计算出来的，所以我们只需要计算出自同构φ作用在这些生成元上的像就可以了。

According to normalforms that we obtained,we study universal unfolding for some degenerate bifurcationcases of codimension three and some simple global characterizations.

利用共轭算子法研究了具有幂零线性部分和不具有Z2—对称性的非线性动力系统的2阶规范形、3阶规范和4阶规范形，讨论了几种余维3退化分岔情况下的普适开折问题及其一些全局特性。

Matrix serves as a key tool in the study of higher algebra.

在高等代数中矩阵是研究问题很重要的工具，在讨论矩阵的乘法运算时给出了幂零矩阵的定义，但对其性质研究很少。

The nilpotency of finite groups was studied by the properties of semidirect product,and some good results were got.

通过半直积的性质来研究有限群的幂零性，并得到一些好的结果。

In the end of this chapter,weprove a local nilpotency property of operators on modules(Theorem 2.3.3)whichis one of the main theorems of this work.

这一章的最后主要证明算子作用在模上的一个局部幂零性质（定理2.3.3），它是本工作的主要结果之一。

By using Turull's methods, we get some better positive answers to the nilpotency length conjecture for odd order groups.

结合Turull的方法，对奇数阶情形时的幂零长猜想做了较好的正面回答。

First,we give some basic concepts of restricted Lie color algebra,for example,p-subalgebra,p-idea and p-nilpotent Lie color algebra.

然后，我们得到限制李color代数的Frattini子代数和Frattini p-子代数的基本性质并证得可解限制李color代数的Frattini子代数和Frattini p-子代数是两个幂零理想。

After giving the concept and some elementary properties of subideals of Lie triple system,the author shows that every subalgebra of a nilpotent Lie triple systems is a subideal and a Lie triple system is solvable if every subalgebra is a subideal.

证明了幂零李三系的子系数都是次理想；当李三系的所有子系数都是次理想时，该李三系是可解的。

And there is a natural graded G-algebra isomophism〓.3where Nis the subvariety of all the ad-nilpotent elements in the Lie algebraof G.

并且存在分次G-代数同构〓6这里N是G的Lie代数中的伴随幂零元全体。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷