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Augmentation quotients for complex representation rings of dihedral groups 被引量:3

Augmentation quotients for complex representation rings of dihedral groups
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摘要 Denote by Dm the dihedral group of order 2m. Let R(Dm) be its complex representation ring, and let △(Dm) be its augmentation ideal. In this paper, we determine the isomorphism class of the n-th augmentation quotient △^n(Dm)/△^n+1(Dm) for each positive integer n. Denote by Dm the dihedral group of order 2m. Let R(Dm) be its complex representation ring, and let △(Dm) be its augmentation ideal. In this paper, we determine the isomorphism class of the n-th augmentation quotient △^n(Dm)/△^n+1(Dm) for each positive integer n.
出处 《Frontiers of Mathematics in China》 SCIE CSCD 2012年第1期1-18,共18页 中国高等学校学术文摘·数学(英文)
关键词 dihedral group REPRESENTATION augmentation quotient dihedral group, representation, augmentation quotient
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