幂零的

In this project we obtain a sufficient and necessary condition for a finite group G has a p-block with a normal p-subgroup D as a defect group, a necessary and sufficient condition for a group which is an extension of a nilpotent group by an abelian group has a p-block of defect zero.

本项目中我们给出了正规p-子群是有限群G的亏群的一个充要条件和幂零群被交换群扩张的群有亏零块的充要条件。

As is known, groups satisfying central extension conditions are nilpotent.

我们知道满足中心扩张的群是幂零群。

Let H be a normal subgorup of a finite group G such that G/H is nilpotent.

2假设H是有限群G的一个正规子群使得G/H是幂零群。

In Chapter one, the theory of irreducible unitary representations on two-step nilpotent Lie groups is introduced.

在第一章中，首先介绍了二步幂零Lie群上的不可约酉表示理论。

Finally it is shown that if R is a ring with a nonzero local powerzero ideal then the matrix ring is a NCI ring.

最后证明了如果环R存在非零的局部幂零理想I那么R的全矩阵环Mn是NCI环。

Chapter 4 mainly deals with the nilpotency of table algebras.

本文第4节对表代数的幂零性问题做了深入研究。

Kasymov2J discussed the solvability and nilpotency of n-Lie alge...

Kasymov[2]研究了n-李代数的可解性和幂零性。

In [10,13], the authors gave some conditions on which a group is nilpotent by c- normality of subgroups.

文献[10，13]利用子群的c-正规性给出了一个群是幂零一些条件。

The following statements are proved:. A is equivalent to a diagonal matrix if and only if A is similar to a diagonal matrix.. If R is an APT ring, then A can be uniquely diagonalized as diag{e1,..., en} and ei divides ei+1.. R is an APT ring if and only if R/I is an APT ring, where I is a nilpotent ideal of R.

本文证明了以下结果：A相抵于一对角阵当且仅当A相似于一对角阵；若R是一APT环，则A在相似变换之下可唯一地化为对角形diag{e1，…，en｝，这里ei整除ei+1；R是APT环当且仅当R/I是APT环，这里I是环R的一幂零理想。

However, the properties of nilpotent matrix have not been much explored although its definition is given in discussing the multiplication of matrix, As special forms of matrixes, nilpotent matrix plays a key role not only in the theory of matrix but also in actual application.

幂零矩阵作为特殊矩阵无论在矩阵理论方面，还是在实际应用方面都有重要的意义。

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