摘要
使用Bidwell和Curran在2006年引入的描述半直积的自同构的矩阵方法,结合作者等人在2010年证明的关于稳定自同构群的矩阵公式,得到了一类正则圈积的自同构群的矩阵描述,并求出了自同构群的阶.
It is obtained a matrix description of automorphism groups and its order for certain regular wreath products, by using the matrix method to characterize automorphisms of semi-direct products introduced by Bidwell and Curran in 2006, combined with a matrix formula for stable automorphism groups presented by the authors in 2010.
出处
《数学的实践与认识》
CSCD
北大核心
2013年第14期284-288,共5页
Mathematics in Practice and Theory
基金
山西省自然科学基金(2013011001-3)
关键词
圈积
自同构
半直积
矩阵
wreath product
automorphism
semi-direct product
matrix