查询词典 automorphism group

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 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。

In fact, researching the symmetry of Sabidussi coset graphs has more general significance than doing so for the Cayley graph 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。

G is called point-transitive if it has a point-transitive automorphism group. Let PM denote the perfect matching polytope of the graph G.

称G是顶点可传递的，如果其自同构群是顶点传递的。G的完美匹配多面体记作PM。

Since the survey of Lindner and Rosa in 1978, one of the interests in the area of 3-designs has focused on establishing the existence of Steiner quadruple systems with a prescribed automorphism group.

Lindner和Rosa在1978年对斯坦纳四元系及其相关问题做了一篇综述。

Any column of the matrix can be permuted randomly, and the permutation between columns should satisfy the form which is the automorphism group of the binary cyclic Turbo code generated by the feedback polynomial.

该矩阵的任意一列可采用随机交织方式，而列间交织方式必须是按由反馈多项式生成的循环码字集的自同构群构成。

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。

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。

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。

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。