infinite group

When G is infinite group , R # kG # .

当G为无限群时，R＃kG＃。

This paper presented a duality theorem of infinite group grading ring which has a general structure and also give an example to show that this structure is untrivial .

本文得出了无限群分次环的一般结构下的对偶定理，另给出例子说明其非凡性。

Complexity analysis of some problems infinite group

有限群上几个问题的复杂性分析

An infinite group , in which every proper subgroup is finite , is called an inner-finite group .

每一个真子群均有限的无限群叫内有限群，非交换的内有限群叫Sc群。

The paper gives a vertex chromatic graph for any infinite group , each of whose subgroup is automorphic subgroup conducted by the chromatic graph .

本文给出任何有限群的一个顶点着色图，而这个群的每一个子群是同构于该有色图诱导出的自同构子群。

Let R_o be a rotation group passing through the original point . It is shown that there are 6 classes finite subgroups on the infinite group R_o except for the identity group .

过定点O的旋转群Ro是无限群，从视直线为旋转轴出发讨论，Ro的有限子群（除单位元群外）共有6种类型。

The strongly residually - finite properties of some infinite soluble group s

无限可解群的强剩余有限性

Quality of a Boolean Algebra on Infinite Permutation Group

无限置换群上一布尔代数的性质

The Superfluous Subgroups of a Finitely-generated Infinite Soluble Group

有限生成的无限可解群的多余子群

In this paper , some results on the superfluous subgroups of a finitely-generated infinite soluble group are obtained , which are the generalizations of the corresponding results of a finite group .

本文得到了有限生成的无限可解群的多余子群的一些结果，它们是有限群的某些相应结果的推广。

The braid group is infinite non-commutative group , and it has many hard problems that can be utilized to design cryptographic primitives , such as the word problem , conjugacy problem and root problem .

辫群是一种非交换的无限群，该群中有许多困难问题是不可解的，如字问题、共轭问题和根问题等，利用这些困难问题可以去设计一些密码协议。

We generalize the infinitesimal transformations obtained in the Ernst fields of vacuum previously to the case including electromagnetic fields to form a larger infinite symmetric group which is isomorphic to the Virasoro group without a central term .

我们把以前在真空Ernst场中得到的无穷小对称变换推广到带电磁场的Ernst场中，得到了一个更大的无限维对称群，这个群与不带中心项的Virasoro群同构。

The Maps into Infinite Dimensional Hilbert Lie Group

到无穷维Hilbert李群的映射

Multiple R-H Method and the infinite - Dimensional Virasoro Group on the Solution Space of the Double Ernst Equation

多重R－H法及二重Ernst方程解空间的无穷维对称Virasoro群