有限群是E.R.群的两个充分条件

The Two Sufficient Conditions of a Finite Group to be a E.R Group

设G是有限群,文章中给出了G是E.R.群的两个充分条件。证明了若G的一个Sylow-p群P是循环群,且G′≤P,则G是E.R.群。研究结果推广了著名的定理。

Suppose G is a finite group, the objetctive of this paper is to prove the two sufficient conditions of a finite group to be a E. R. group. It is proved that G is a E. R. group if P, which is sylow P subgroup of G, is a cyclic group. Our results extend a famous theroy.