有限循环群的膨胀

The Inflations of Finite Cyclic Groups

本文给出了群膨胀的一些性质,然后证明了群膨胀是左-半群的一个充要条件。最后,给出了有限循环群膨胀的基本性质。

In this paper, some properties of inflations of groups are given. Moreover, a necessary and sufficient condition for an inflation of a group to be a left -semigroup is proved. Finally, we obtain the basic conclusions of finite cyclic groups.