收稿日期: 2015-04-13
修回日期: 2015-10-09
网络出版日期: 2016-05-15
基金资助
国家自然科学基金(11371343)和西北工业大学基础研究基金(JCY20130139)资助
Consecutive quotients of powers of Burnside ring of a cyclic group under action by the maximal subgroup
Received date: 2015-04-13
Revised date: 2015-10-09
Online published: 2016-05-15
武海波 , 唐国平 . 循环群的极大子群作用下的Burnside环的连续商群[J]. 中国科学院大学学报, 2016 , 33(3) : 302 -305 . DOI: 10.7523/j.issn.2095-6134.2016.03.003
In this work, the basis of augmentation ideal I of Burnside ring of a finite cyclic group under the action by any maximal subgroup is studied. The recursion formula of the nth power In of the augmentation ideal I is given. Furthermore, the consecutive quotient In/I(n+1) of the nth power In by the (n+1)th power of the ideal I is discussed, and its structure is determined in general.
Key words： Burnside ring; augmentation ideal; consecutive quotient
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