关于π-齐次群为π′-闭群的一个判别条件

摘要

In this paper,the following theorem is proved: if 2p-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.%证明了定理：如果形如2p-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.