自同构群

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。

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。

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。

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。

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。

linear code ; permutation group ; automorphism group ; generalized inverse

根据线性码生成矩阵的性质，可以简化自同构群的计算；b 。

Then wehave two important theorems about the lifting of the group of automorphisms and thelifting of derivations of A are given by the function of uce , then to prove them.

然后，利用uce函数给出了关于A的自同构群的提升和导子的提升的两个重要定理并加以证明。

As a corollary ,we prove the nonexistance of cubic semisymmetric graph of order 12p,i.e.,for all edge-transitive cubic graph of 12p is symmetric.

本文通过对12p阶3度边传递图的全自同构群的研究，证明了12p阶3度半对称图不存在，即任意12p阶边传递图必为对称图。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新