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According to the generator matrix of a linear code,automorphism group is studied.

因此如何获得线性码的自同构群成为值得研究的一个问题。

Let G be a soluble block-transitive automorphism group of 2-(56,7,1) design D.

设G是设计2-(5~6,7,1)的一个可解区传递自同构群,则G是旗传递的且G■A■L(1,5~6)。

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。

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。

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。

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