摘要
本文使用自同构的矩阵表示方法,得到了一个给定半直积的稳定自同构群可分解成若干结构简单的特殊子群乘积的充要条件,所得结果推广了樊恽和黄平安的两个相应定理.
Some necessary and sufficient conditions were obtained for the stable automorphism group of a given semidirect product to decompose a product of some special subgroups with simpler structure,by using the matrix presentation of automorphisms,which generalized the corresponding two theorems due to Fan Yun and Huang Ping-an.
出处
《数学进展》
CSCD
北大核心
2010年第6期673-678,共6页
Advances in Mathematics（China）
基金
国家自然科学基金(No.10971054)
关键词
半直积
自同构群
稳定自同构群
semidirect product
automorphism group
stable automorphism group
