关于阿贝尔Hall π-子群

On Abelian Hall π-Subgroups

摘要: 设G是一个有限群，H是G的一个阿贝尔Hall π-子群，则存在g ∈G，使得O_π= H ∩ H^g。本文推广了Brodkey的结果。另外讨论了具有阿贝尔Hall π-子群的 π-可分群的性质。

Abstract: Let G be a finite group and H an abelian Hall π-subgroup of G. Then g ∈G, there exists O_π= H ∩ H^g such that  . It generalizes Brodkey’s result. In addition, the properties of π-separable groups with Abelian Hall π-subgroup are discussed.