Augmentation quotients for complex representation rings of dihedral groups

Abstract

Denote by D_m the dihedral group of order 2m. Let ℛ(D_m) be its complex representation ring, and let Δ(D_m) be its augmentation ideal. In this paper, we determine the isomorphism class of the n-th augmentation quotient Δⁿ(D_m)/Δⁿ⁺¹(D_m) for each positive integer n.

Keywords

dihedral group / representation / augmentation quotient

References

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