【作者单位】Department of Mathematics,Taiyuan Normal University,Taiyuan 030012,P.R.China Department of Mathematics,Hubei University,Wuhan 430062,P.R.China
【年份】2010
【卷号】No.9
【页码】1693-1700
【关键词】Outer action group extension lifting
【摘要】 Let G and N be arbitrary groups.In this paper,we construct an associated group extension εx of N/Z(N) by G for any group homomorphism x:G→ Out N,and prove that x can be lifted to a group action,that is,a group homomorphism from G to Aut N,if and only...
