标题:
关于阿贝尔Hall π-子群On Abelian Hall π-Subgroups
作者:
徐涛
关键字:
Sylow p-子群, Hall π-子群, π-可分群
期刊名称:
《Pure Mathematics》, Vol.5 No.5, 2015-09-01
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Oπ= 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.