关于P^S—正则群

On P^s-Regular Groups

本文研究了有限P群的P^s—正则性,给出了有限P群成为P^s—正则群的两个充分条件。对于P^s—正则群进一步讨论了它具有的幂结构。可得结果表明:对于任一自然数S。

The Ps-regularity of the finite P-groups is studied in this paper.Two sufficient conditions are given for a finite P-group becoming ps-regular group.The power structure of the Ps-regular proups has been further discussed. It is proved that for any natural number S, the Ps-regular group has a similar structure to the regular P-group.