Augmentation quotients for Burnside rings of some finite p-groups

作者：Chang, Shan^*

来源：Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 2019, 129(1): 9.

DOI：10.1007/s12044-018-0444-x

• Finite p-group
• Burnside ring
• augmentation ideal
• augmentation quotient

Let G be a finite group, (G) be its Burnside ring and (G) the augmentation ideal of (G). Denote by n(G) and Qn(G) the n-th power of (G) and the n-th consecutive quotient group n(G)/n+1(G), respectively. This paper provides an explicit Z-basis for n(H) and determine the isomorphism class of Qn(H) for each positive integer n, where H=g,h| gpm=hp=1,h-1gh=gpm-1+1, p is an odd prime.

• 出版日期2019-2
• 单位合肥工业大学