有限交换群的Burnside环的增广理想的连续商群的结构

The Structure of Powers of the Augmentation Ideal and Their Consecutive Quotients for the Burnside Ring of a Finite Abelian Group

本文对有限交换群的Burnside环的增广理想的n次幂与n+1次幂之商进行了讨论,完整地给出了这类连续商群的结构.

In this paper, consecutive quotients of powers of the augmentation ideal for the Burnside ring of a finite Abelian group is discussed, the structure for such consecutive quotients is completely determined for any finite Abelian group.