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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。

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。

As two important tools, the weight space decomposition of modules of a nilpotent Lie algebra (Section 1) and irreducible finite dimensional representations of solvable Lie superalgebras (Section 2.3) are presented in detail.

讨论过程中，作为两个重要的工具，对幂零李代数其模的权空间分解(第1节)，以及可解李超代数的有限维不可约表示(第2.3节)也作了详细的介绍。

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。

This paper first presents the definition of nilpotent matrix and then moves on to discuss certain properties of them.

本文先给出幂零矩阵的定义，然后讨论了它的若干性质。

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。

Set N be a maximal nilpotent subalgebra of D_n. In this paper, we determine all automorphisms of N.

在本文中我们将计算出这个极大幂零子代数N的所有自同构。

The present paper, from the point of view of the relationship between substructure and quotient structure, mainly characterizes structures of abelian and nilpotent table algebras and gains some meaningful results.

本论文从表代数的子结构和商结构的关系出发，对abel表代数和幂零表代数的结构进行了深入的探讨，并且得到一些有意义的结果。

The reader will need to know some basic finite group theory: the Sylow theorems and how to use them and some elementary properties of permutation groups and solvable and nilpotent groups.

读这本书之前，读者需要一些有限群论的基本知识，如Sylow定理及其应用，置换群，可解群和幂零群的基本性质等等。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。