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

摘要从线性码的生成矩阵出发,研究线性码的自同构群

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。

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

By studying the generalized automorphism groups,we obtain some results which generalize some related classical theorems,including a theorem of P.

通过研究群的广义自同构群,该文得到了若干结果,推广了一些相关的经典定理,包括P。

In studing the groups and graphs, the symmetry property of the graphs has been being a very hot issue, which is mainly described by some transitive properties of their automorphism groups.

在群与图研究中,图的对称性一直是一个热门问题。它主要通过图的自同构群具有某些传递性来描述。

The symmetry of graphs has been being a very hot issue in studing the group and graph and it is mainly described by some transitive properties of acting by their automorphism groups.

在群与图研究中,图的对称性一直是一个热门问题。它主要通过图的自同构群具有某些传递性来描述。

He has proved that most, if not all, the connected cubic G-arc-transitive Coset graphs on the finite nonabelian simple groups are normal, further, has given bounds of the full automorphism on this kind of graphs.

利用陪集图的正规性可以给出某类图的全自同构群的界,且可以得到某类群具有陪集图表示的充分条件[2],另外陪集图的正规性对于求给定群的最小级陪集图表示具有重要作用[3]。

Lastly,Using the extension theory of〓-algebras founded and developed by Brown-Douglas-Fillmore in 70s,inparticular,using the homotopy invariance of the extensions and the indexformule of Toeplitz operator matrices,the paper characterized the automorphismgroup of the continuous function symbol Toeplitz 〓-algebra in terms of thetopological degrees of the continuous mappings on the n-dimensional sphere.

最后,本文利用Brown-Douglas-Fillmore在七十年代建立并发展起来的C*-代数扩张理论,尤其是扩张的同伦不变性,以及Toeplitz算子矩阵的指标公式,通过球面上连续映射的拓扑度,刻划了高维球面Hardy空间上连续符号Toeplitz 〓代数的自同构群

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