p-群的Burnside环的增广理想的商群的结构  

The structure of powers of the augmentation ideal and their consecutive quotients for the Burnside ring of p-Group

作　　者：武海波[1] 唐国平[2] 

机构地区：[1]西北工业大学理学院,陕西西安710072 [2]中国科学院研究生院,北京100049

出　　处：《西北大学学报（自然科学版）》2008年第2期207-209,共3页Journal of Northwest University（Natural Science Edition）

基　　金：国家自然科学基金资助项目(10271094)

摘　　要：目的讨论两类由p-群出发构造的Burnside环的增广理想的商群的结构。方法利用轨道、稳定子和基底的关系,归纳证明。结果确定了该商群的结构。结论回答了关于此类Burnside环的Karpilovsky问题。Aim To discuss the consecutive quotients of powers of the augmentation ideal for the Burnside ring of p-group discussed. Methods The results can be obtained and proved by using the relation among the orbit, the stabilizer. Results The structure for such quotients is established for such p-group. Conclusion The results answered an open problem of Karpilovsky for this kind of Burnside ring.

关 键 词：P-群 Burnside环 增广理想 商群 

分 类 号：O152[理学—数学]