某类群的增广理想的基底及其商群的结构  

BASIS OF POWERS OF AUGMENTATION IDEAL AND THEIR QUOTIENT GROUPS FOR SOME GROUPS

作　　者：赵红梅[1] 唐国平[1] 

机构地区：[1]西北工业大学理学院,陕西西安710072

出　　处：《数学杂志》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)

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.

关 键 词：完全群 整群环 增广理想 基底 商群 

分 类 号：O152[理学—数学]