| 循环群的极大子群作用下的Burnside环的连续商群 |
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| 作者姓名： | 武海波 唐国平 |
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| 作者单位： | 1. 西北工业大学理学院, 西安 710072;
2. 中国科学院大学数学科学学院, 北京 100049 |
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| 基金项目： | 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 |
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| 摘 要： | 研究有限循环群的任一极大子群作用下的Burnside环的增广理想的基底,给出n次增广理想的一般表达式,并进一步讨论其连续商群的结构问题,得到一般情形下的同构分解式.
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| 关 键 词： | Burnside环 增广理想 连续商群 |
| 收稿时间： | 2015-04-13 |
| 修稿时间： | 2015-10-09 |
Consecutive quotients of powers of Burnside ring of a cyclic group under action by the maximal subgroup |
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| Authors: | WU Haibo TANG Guoping |
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| Institution: | 1. School of Science, Northwestern Polytechnical University, Xi'an 710072, China;
2. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China |
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| Abstract: | 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. |
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| Keywords: | Burnside ring augmentation ideal consecutive quotient |
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