It is often very difficult to identify the structure of the automorphismgroup and the inner automorphismgroupofa 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。
2
Under this assumption, the present paper further gives a characterization for the automorphismgroupof C( G, S) in terms of the quotient di-graph and the kernel K.