摘要
本文研究了一类具有完全正规子群的有限群之增广理想及增广商群结构的问题.利用完全群的一些性质及数学归纳法,得到了此类群任意次增广理想的一组基底,并且解决了增广商群的结构问题.
For certain finite group with a perfect normal subgroup, this paper discusses the problem of its augmentation ideals and quotient groups. By using the property of perfect group and the known results obtained, this paper finds a set of basis of augmentation ideals for this group, so the structure of its quotinet groups can be determined.
出处
《数学杂志》
CSCD
北大核心
2008年第1期67-70,共4页
Journal of Mathematics
基金
国家自然科学基金资助项目(No.10271094)
关键词
完全群
整群环
增广理想
基底
商群
perfect group
integral group ring
augmentation ideal
basis
quotient group
