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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
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
WU Haibo , TANG Guoping . Consecutive quotients of powers of Burnside ring of a cyclic group under action by the maximal subgroup[J]. Journal of University of Chinese Academy of Sciences, 2016 , 33(3) : 302 -305 . DOI: 10.7523/j.issn.2095-6134.2016.03.003
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