查询词典 involutorial anti automorphism

The results play an important role for the theorerical study and calculation of automorphism group,also for design of decoding algorithm and cryptography system.

本文在文 [4]的基础上对自同构群进行进一步的研究，获得了一些新的结论：a。

We shall use algebraic methods to study graphs which are highly regular although this regularity is not expressed in terms of the automorphism group.

我们将用代数方法来研究高度正则的图，尽管这种正则性不是用自同构群来表达的。

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。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。