查询词典 operator automorphism

At first,This thesis determines the full automorphism group s of connected Cayley graphs of valency 4 of .

首先，本文决定了3p(p＞3为素数)阶亚循环群的连通4度Cayleyr图的全自同构群结构，并由此得到这类图的CI性，正规性和弧传递性。

Let Autbe the automorphism group of a compact graph G.

设Aut是紧图G的自同构群。

Lubotski [3] and Lue [2] showed that every normal automorphism of a non-cyclic free group is inner.

Lubotski[3]和Lue[2]证明了秩不小于2的自由群的每个正规自同构都是内自同构。

The outer automorphism group of the free product of two syclic groups is constructed, and two exact formulas for calculating its order are established.

具体地构造出两个有限循环群的自由积的外自同构群，并给出了其阶的计算公式。

A finite p-group G is called LA-group, if the order of G divides the order of the automorphism group of G.

称有限p-群G是LA-群，如果群G的阶能整除群G的自同构群的阶。

Automorphism group of a linear code is obtained with the help of the general linear group constructed by all invertible matrices, and it is illustrated by matrices generalized inverses.

给出了通过求解可逆矩阵构成的一般线性群，获得线性码的自同构群的方法，并利用矩阵广义逆理论，对线性码的自同构群进行进一步刻划。

In fact, researching the symmetry property of the Coset graph is more significant than the Cayleygraph, because every vertex-transitive graph is always some Coset graph of its full automorphism group.

关于陪集图对称性的研究其实较Cayley图更具有普遍的意义，因为任何一个点传递图都是其全自同构群的某个陪集图。

The new method has two key steps: one is to get the automorphism group of HEm, and the another one is to introduce the concept of semi-Reinhardt domain and get its complete orthonornal system.

关键之处有两点：一是给出第三类华罗庚域的全纯自同构群，群中每一元素将形为(W，Z0)的内点映为点(W*，0)；二是引进了semi—Reinhardt的概念并求出了其完备标准正交函数系。

Further, we can also define if a Coset graph is a graph representation, we note it GR for short, that is, the relevant group is exactly equal to the full automorphism group of the Coset graph.

甚至，我们也可以定义一个陪集图是一个图表示，简称GR，即相应的群是否恰等于它的这个陪集图的全自同构群。

Automorphism group of a linear code is obtained with the help of the general linear group constructed by all invertible matrices,and it is illustrated by matrices generalized inverses.

文 [1 ]给出了判断一个置换矩阵是否属于自同构群的充分必要条件，文 [4]在此基础上利用矩阵广义逆理论对自同构群进行研究得出了一些有用的结论。

Continuously improve the production mechanism, to provide customers with better quality products and services.

不断的完善生产机制，给客户提供更优质的产品及服务。

B:Yes, he was the very prize-winner in the court tennis ten years ago?

是的，他是十年前的世界网球冠军。