自同构

Our studies mainly focus on the free groups with finite ranks . Free groups with finite ranks are the fundamental subjects of combinatorial group theory, and they have central importance for the studies of both topology and algebra.

我们研究比较多的是有限秩的自由群，有限秩自由群是组合群论的中心课题，是一个在拓扑学及代数学上都具有重要意义的研究对象，获取有关这些自由群的结构的信息的一个主要方法是研究其上的各种自同构作用。

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。

We also discuss a natural involution of necklace Lie algebra .

我们还讨论了由重箭图自然自同构导出的李代数的一个自然的对合。

Set N be a maximal nilpotent subalgebra of D_n. In this paper, we determine all automorphisms of N.

在本文中我们将计算出这个极大幂零子代数N的所有自同构。

In Reference [3], Cao and Tan described the automorphisms of Lie algebra of the strictly upper triangular matrices over R which is a maximal nilpotent subalgebra of the A_n type classical simple Lie algebra.

在参考文献[3]中，曹和谭把由所有严格上三角矩阵所构成的李代数的自同构问题已经完整的解决了，而这样的李代数恰好就是A_n型李代数的一个极大幂零子代数。

Coleman automorphism occurred first in the study of the normalizer Nu of G in the units U{RG of RG.

Coleman自同构始于研究有限群G在群环RG的单位群U中的正规化子。

If for any two t-edge sequences whose initial edges have non-empty intersection, there exists an automorphism of H mapping one to the other, then H is called locally weakly t-transitive.

若对於任二个 t-线序列，其第一个元素的交集并非空集合时，均存在一个 H 的自同构函数将其中一个对应到另外一个，则 H 称为局部弱 t-递移。

The quantum quadratic residue codes are also extended in a nice way, most of which allow, the projective unimodular group, to act.

构造出量子二次剩余码的扩展码，与经典情形类似，对几乎所有的，量子二次剩余码的扩展码都以射影幺模群为自同构子群。

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。

Toral automorphisms mapping is a transform technology widely applied in digital image scramble.

花托自同构映射是一种变换技术，尤其多被用于数字图像置乱。

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