查询词典 automorphism

Li and one of his lemmas toabbreviate the nonnormal Cayley digraph 〓 into the case when 〓 is a dicycle.When 〓 is a dicycle,we give the sufficient and necessary conditions for 〓 to benonnormal and the structure of the corresponding automorphism group Aut.

Li定义的一个图〓，其中N是Aut的一个非平凡极小正规子群，和他的一个引理，把对非正规Cayley有向图Γ的讨论简化到〓是一个有向圈的情况，进而决定了当〓为有向圈时，Γ非正规的充要条件和Aut的结构。

At first,in section 2.1.1,we define a new digraph Aand use it toprove that if G is of odd order and 〓 is nonnormal,the automorphism group Autof 〓 is solvable.

首先，在第2.1.1节中，我们定义一个新图A。

Let G be a finite group, and S a subset of G not containing theidentity element 1. The Cayley digraph Cay on G with respect to S is definedas a directed graph with vertex set G and edge set {|g∈G, s∈S}. IfS~(-1)=S, then Cay is undirected and in this case, we view two directededges and as an undirected edge {u, v}. Obviously, the right regularrepresentation R of G, the acting group of G by right multiplication, is asubgroup of the full automorphism group AutCay(G, S of Cay.

给定有限群G，设S是G的不含单位元1的子集，群G关于子集S的Cayley有向图Cay是一个以G顶点集合，而以｛|g∈G，s∈S｝为边集合的有向图，特别地，若S~(-1)=S，则X=Cay是无向的，此时我们把一条无向边｛u，v｝等同于两条有向边和，易见，群G的右正则表示R，即G在G上的右乘作用，为图Cay的全自同构群AutCay

In Chapter 5, we classify several classes of finite groups whose power automorphism groups are of large order.

第五章则以群作用为工具，克服了p-群分类的困难，给出了几类具有较大阶的幂自同构群的有限群的分类。

In chapter two, firstly I discuss the linear problem of local automorphism on AF C* algebra.

在证明过程中充分利用了代数的特殊结构—矩阵单位系这个工具。

Through the study of Coleman automorphism, more informations on the group may be obtained.E.C.

通过对Coleman自同构的研究，可以获得这种群的更多信息。

This paper describes the precise structure of the automorphism groups of order pq 2,where p and q are distinct primes.

考虑怎样的 pq2阶群可以作为另一个有限群的全自同构群，其中 p，q是不同的素数。

In chapter 1, one type of maximal subgroups in unitary groups over local rings is obtained. Let R be a local ring with a automorphism φ of order 2: a?

在第一章中，得到了局部环上酉群的一类极大子群：设R是一个特征不为2的局部环，φ：a？

Similar to the normality of the Cayleygraph, we can also define the normality of the Coset graph, that is, if the relevant group is normal to its full automorphism of the Coset graph.

类似于Cayley图的正规性，我们同样可以定义陪集图的正规性，即相应的群是否正规于它的这个陪集图的全自同构群。

The watermark is processed by toral automorphism ,convolutional encding and interleaving before embedding,in order to improve the security and robustness.

水印在嵌入前进行Toral 自同构运算、卷积编码和交织，以提高水印的安全性和鲁棒性。

But we don't care about Battlegrounds.

但我们并不在乎沙场中的显露。

Ah! don't mention it, the butcher's shop is a horror.

啊！不用提了。提到肉，真是糟透了。