【作者单位】2. Department of Mathematics, Taiyuan Normal University, Taiyuan, 030012, P. R. China 1. Department of Mathematics, Hubei University, Wuhan, 430062, P. R. China
【年份】2010
【卷号】Vol.26 No.9
【页码】1693-1700
【ISSN】1439-8516
【关键词】group extension lifting Outer action
【摘要】 Let G and N be arbitrary groups. In this paper, we construct an associated group extension ? χ of N/Z( N) by G for any group homomorphism χ: G → Out N, and prove that χ can be lifted to a group action, that is, a group homomorphism from G to Aut N, ...
