查询词典 nilpotent

By using Jordan-Hlder type theorem of table algebras, we prove that table algebras satisfying nilpotent extension condition are nilpotent, which does not correspond to extension problems of nilpotent groups exactly.

本文研究了幂零表代数的一个有趣的性质，利用表代数的Jorda-Hlder型定理，证明了表代数满足幂零被幂零扩张仍是幂零的，但有限幂零群没有这样的扩张。

Next we obtain some group theoretic conditions for the existence of p-blocks with defect 0 in some special groups, for instance, in an extension group of a nilpotent group by a abelian group, in a p-nilpotent group, in a group with all subgroups of order p are conjugate, and so on.

其次我们给出了一些特殊群的亏零块存在的群论条件，如幂零群被交换群扩张的群，p—幂零群，p—阶子群均共轭的群等。

Finally, we study the PLDP(n, 2) and strongly nilpotent Jacobian matrices, and we prove that if the nilpotency index of JH for a power-linear map H of degree 2 is less than 4, then JH is strongly nilpotent, and consequently the rows of JH are linearly dependent.

此外，我们特别对线性多项式2次幂映射的相关性问题进行了讨论，为此，对强幂零的Jacobi矩阵进行了研究，刻画了Gorni-Zampieri对的幂零指数之间的关系，并证明了Gorni-Zampieri对保持强幂零性。

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 Chapter 2, starting from a generalization of Hensel's Lemma to non-commutative case, we introduce the Brauer characters and the generalized decomposition numbers, and construct a kind of maximal semisimple algebras; then, similarly to Puig's methods, we prove Brauer's Second Main Theorem over arbitrary fields; applying it to blocks with nilpotent coefficient extensions, a formula on characters of such blocks is given; the formula of characters of nilpotent blocks is just an easy consequence of the fomula.

在第二章中，我们将Hensel的引理推广到非交换的情况，以此为起点，定义了Brauer特征标和广义分解数，构造了一类极大的半单的代数，类似于Puig的方法，给出了任意域上Brauer的第二主要定理；作为该定理的应用，我们给出了具有幂零系数扩张的块的特征标公式，幂零块的特征标公式只是它的一个简单的推论。

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。

Therefore, in order to offer reference to readers, the paper systematically expound and prove the eigenvalue of special matrix that base on idempotent matrix, antiidempotent matrix, involutory matrix, anntiinvolutory matrix, nilpotent matrix, orthogonal matrix, polynomial matrix, the shape of , matrix, diagonal matrix, invertidle matrix, adjoint matrix, similar matrix, transposed matrix, numerical matrix, companion matrix, and practicality and superiority of the achievement was showed by some examples.

为此本文系统地阐述幂等矩阵，反幂等矩阵，对合矩阵，反对合矩阵，幂零矩阵，正交矩阵，多项式矩阵，形为：，矩阵，对角矩阵，可逆矩阵，伴随矩阵，相似矩阵，转置矩阵，友矩阵一系列特殊矩阵的特征值问题并加以证明，并通过一些具体例子展示所得成果的实用性和优越性。

In the study of the recognition of bifurcation broblems, Gaffney establishes D -equivalence theory by introducing unipotent algebraic group and nilpotent Lie algebras.

借助于奇点理论中的一个基本概念，这一问题常常可以转化为有限维的情形来处理。

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。

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。

Terry Norris of the Georgia Sheriffs' Association cites a man who was convicted of statutory rape two decades ago for having consensual sex with his high-school sweetheart, to whom he is now married.

来自佐治亚州治安联盟（the Georgia Sheriffs' Association）的Terry Norris举了个例子，一名男子因20年前与其高中女友发生了性关系而被处以强奸罪。

Orders and for local governments to carry out a land bank on a special insurance policy.

11命令和地方政府进行了土地储备的一个特殊的保险政策。