Abstract: In this paper we gave the relations of group actions orbits and orbits numbers,and the relation of group with the transtive action normal subgroup conjugatins subgroup and its applicatons.

• 文摘:运用群作用与同态刻划了群作用之轨道，轨道数与群阶数之间的关系，群与它可迁作用正规子群共轭子群之关系及其作用.