Augmentation quotients for complex representation rings of dihedral groups |
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| Authors: | Shan Chang Hong Chen Guoping Tang |
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| Institution: | 1. School of Mathematics, Hefei University of Technology, Hefei 230026, China; 2. School of Mathematical Sciences, Soochow University, Suzhou 215006, China; 3. School of Mathematical Sciences, Graduate University of Chinese Academy of Sciences, Beijing 100049, China |
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| 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 Δ
n
(D
m
)/Δ
n+1(D
m
) for each positive integer n. |
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| Keywords: | dihedral group representation augmentation quotient |
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