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.
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。
The outer automorphism group of the free product of two cyclic groups is constructed, and two exact formulas for calculating its order are established.
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。
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.
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.
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。
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