换言之，它有大的自同构群。
最后确定了W及其泛中心扩张的自同构群的结构。
Finally, the structures of the automorphism groups of W and its universal central extension are characterized.
一个图称为点传递图，如果它的全自同构群在它的顶点集合上作用传递。
Firstly, we obtain some equivalent characterization for Cayley graphs of completely simple semigroup which is vertex-transitive.
具体地构造出两个有限循环群的自由积的外自同构群，并给出了其阶的计算公式。
The outer automorphism group of the free product of two cyclic groups is constructed, and two exact formulas for calculating its order are established.
确定一个群的自同构群和内自同构群的结构往往十分困难，还没有一般性的理论及方法。
It is often very difficult to identify the structure of the automorphism group and the inner automorphism group of a group, and there is no general theory and method.
在这个假定下，我们进一步根据商有向图及核K为C（G，S）的自同构群刻划出了一系列特性。
Under this assumption, the present paper further gives a characterization for the automorphism group of C( G, S) in terms of the quotient di-graph and the kernel K.
运用基础代数中有关自同构、左平移、正规子群等理论，对群G的全形进行了简单的探讨，证明了几个有关的结论。
By using the theories in basic algebra about automorphism, left translation and normal subgroup, in the holomorph of G is discussed briefly, and several related conclusions are obtained.
第二章，主要研究有限反射群的最长元以及和最长元相对应的有限反射群的自同构。
In Chapter 2, we investigate the longest elements and the corresponding special automorphism of finite reflection groups.
第二章，主要研究有限反射群的最长元以及和最长元相对应的有限反射群的自同构。
In Chapter 2, we investigate the longest elements and the corresponding special automorphism of finite reflection groups.
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