关于阿贝尔Hall π-子群

On Abelian Hall π-Subgroups

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Oπ(G)= H ∩ Hg。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。

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