关于π-齐次群为π′-闭群的一个判别条件

A Criterion for π′-closures of π-homogenous Groups

证明了定理 :如果形如 2 p- 1的数不是π 数 ,对任何素数p,则有限群G为π′ 闭群的充分必要条件是G为π 齐次群 .

In this paper, the following theorem is proved: if 2 p-1 is not a π number for every prime p , then a finite group G is a π′ closed group if and only if G is a π homogenous groups.