A note on the Π-property of some subgroups of finite groups

期刊论文
发表日期：

2024年9月16日

查看全文

Zhengtian Qiu,
Guiyun Chen,
Jianjun Liu

摘要

Let H be a subgroup of a finite group G. We say that H satisfies the Π-property in G if for any chief factor L/K of G, ∣G/K: N_G/K(HK/K∩ L/K)∣ is a π(HK/K∩L/K)-number. We obtain some criteria for the p-supersolubility or p-nilpotency of a finite group and extend some known results by concerning some subgroups that satisfy the Π-property.