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›› 2016, Vol. 33 ›› Issue (3): 302-305.DOI: 10.7523/j.issn.2095-6134.2016.03.003

• Research Articles • Previous Articles     Next Articles

Consecutive quotients of powers of Burnside ring of a cyclic group under action by the maximal subgroup

WU Haibo1, TANG Guoping2   

  1. 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
  • Received:2015-04-13 Revised:2015-10-09 Online:2016-05-15

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.

Key words: Burnside ring, augmentation ideal, consecutive quotient

CLC Number: