幂零的

Theorem 7 Let G be a group, if every subgroup of G of prime order is contained in Z_∞,2 ∈π, every cyclic subgroup of G of order 4 is π-supplemented in G,then G will be nilpotent.

定理7设G是群，G的素数阶子群包含在Z_∞中，2∈π，如果G的每个4阶循环子群在G中π-可补，则G为幂零群。

Integrability of some subbundles and geometric structuresin case of integrable,isometry groups on the〓-H-type groups.

在第二章中，我们构造并且研究了二步齐性幂零流形的另一类〓型群的几何性质。

This paper mainly consider some basic theory of Frattini p-subalgebra of restricted Lie color algebra from four aspects.

首先，我们给出了关于限制李color代数的p-子代数，p-理想，p-幂零等几个基本定义，然后给出了几个重要定理，这是研究限制李color代数Frattini理论的重要依据。

If r is a super nil radical of a ring.

我们得到了以下主要结论：(1)如果r是环的一个超幂零根，A是一个广义矩阵环，则r是A的一个广义矩阵理想。

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。

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 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。

Furthermore,we show that there exists a 1-1 correspondence between the set ofthese CN Lie algebras and the set of nilpotent Lie algebras of maximal ranks.

第三节引进了CN李代数和CS李代数的概念，证明了极大秩幂零李代数和Heisen-berg代数均为CN李代数。

Nilpotent and solvable Lie groups with left-invariant Riemannian metrics play aremarkable role in Riemannian geometry.

在黎曼几何中，带有左不变黎曼度量的幂零和可解李群具有重要作用。

And there is a natural graded B-algebra isomophism〓.where n is the subvariety of all the ad-nilpotent elements in the Lie algebra of B.

并且存在分次B-代数同构〓5这里n是B的Lie代数中伴随幂零元全体。

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