Augmentation Quotients for Complex Representation Rings of Generalized Quaternion Groups

作者：Chang, Shan^*

来源：Chinese Annals of Mathematics Series B, 2016, 37(4): 571-584.

DOI：10.1007/s11401-016-1017-x

• Generalized quaternion groups
• Representation ring
• Augmentation quotients

Denote by Qm the generalized quaternion group of order 4m. Let R(Q(m)) be its complex representation ring, and Delta(Q(m)) its augmentation ideal. In this paper, the author gives an explicit Z-basis for the Delta(n) (Q(m)) and determines the isomorphism class of the n-th augmentation quotient Delta(n)(Q(m))/Delta(n+1)(Q(m)) for each positive integer n.

• 出版日期2016-7
• 单位合肥工业大学