自同构群

The automorphism group of the direct product of n finite groups is studied and its matrix expression is obtained.

研究了n个有限群直积的自同构群，得到了其矩阵描述，进而刻划了该直积群的交换自同构及中心自同构。

Automorphism group of a linear code is obtained with the help of the general linear group constructed by all invertible matrices, and it is illustrated by matrices generalized inverses.

给出了通过求解可逆矩阵构成的一般线性群，获得线性码的自同构群的方法，并利用矩阵广义逆理论，对线性码的自同构群进行进一步刻划。

Automorphism group of a linear code is obtained with the help of the general linear group constructed by all invertible matrices,and it is illustrated by matrices generalized inverses.

文 [1 ]给出了判断一个置换矩阵是否属于自同构群的充分必要条件，文 [4]在此基础上利用矩阵广义逆理论对自同构群进行研究得出了一些有用的结论。

Dade made enormous researches on Coleman automorphism of a finite group and obtained a lot of initial results,especially proved that Coleman outer automorphism group is nilpotent.

E.C.Dade通过对有限群的Coleman自同构的大量研究得到了一系列开创性的结果，最重要的是证明了Coleman外自同构群是幂零群。

On the basis of that, a finite group G satisfying |Aut: Paut|=1, p or pq is successfully classified, where p, q are distinct primes, Aut is the automorphism group of G and Paut is the power automorphism group of G.

然后在此基础上综合运用多方面的知识，进一步给出了满足条件|Aut∶Paut|=1，p或pq的有限群的完全分类，其中Aut是群G的自同构群，Paut是G的幂自同构群，p，q仍是不同的素数。

The automorphism groups of the two posets are given and the numbers of orbits of the automorphism groups are counted. At the same time, the number of words in every rank of the posets is obtained.

本章给出了偏序集P和Q的自同构群，计算了在各自的自同构群作用下轨道的个数以及每一轨道中元素的个数，得到了偏序集中每一秩中元素的个数。

Holomorphic vectors and holomorphic automorphism groups of a sort of three-dimensional Hopf manifold

本文确定了亚循环的内交换p-群(p≠2)的自同构群的阶，并给出了其自同构群的结构。

In recent years, the theory of infinite dimensional simple Lie algebra has become an important branch in Lie theory.

近年来无限维单李代数的结构理论以及表示理论已经成为李代数研究中的重要分支，无限维单李代数的构造，自同构群的确定，同构分类，二上同调群的计。。。

In [10] Camina and Siemons classified 2-(υ, 4, 1) designs with a blocktransitive, solvable groups of automorphisms.

对区传递的2-（υ，4，1）设计的分类，Camina和Siemons[10]讨论了自同构群可解的情形，Li[49]讨论了自同构群非可解的情形。

Secondly, we study a class of automorphisms of A, i.e., we prove that the set {φ∈SL_n|φ= t is a subgroup of AutA(n,t,Finally, we mainly discuss some properties of the operation w in A, i.e., g~w = 0, f~w = 0 and Leibniz identity.

其次，讨论了A的一类自同构，即证明了集合{φ∈SL_n|φ=t}是自同构群AutA(n，t的一个子群；最后，得到了A的运算w的一些性质，即g~w=0、f~w=0和Leibniz等式。

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。