有限群有正规交换π-补的一个充分条件

A Sufficient Condition on Finite Group Having Normal Abelian π-complement

令π为素数集.通过对有限群不可约常特征标次数的算术性质的描述,可以给出有限群有正规交换π-补的一个充分条件,并举例子说明这个条件是非必要的.

Let π be a set of prime numbers. By describing the property of the degrees of irreducible characters of a finite group in this paper, we can give a sufficient condition on this group which has a normal abelian π-complement; while this condition is not necessary.