Augmentation quotients for complex representation rings of dihedral groups.

DOI10.1007/s11464-011-0162-5zbMath1269.20001OpenAlexW2091526351MaRDI QIDQ1758567

Shan Chang, Guoping Tang, Hong Chen

Publication date: 15 November 2012

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-011-0162-5

zbMATH Keywords

finite Abelian groupsdihedral groupsintegral group ringscomplex representation ringsaugmentation quotientsaugmentation ideal

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Frobenius induction, Burnside and representation rings (19A22)

Related Items

Augmentation quotients for complex representation rings of generalized quaternion groups. ⋮ Augmentation quotients for burnside rings of generalized dihedral groups ⋮ Augmentation quotients for Burnside rings of some finite \({p}\)-groups ⋮ Augmentation quotients for real representation rings of cyclic groups ⋮ Stability in graded rings associated with commutative augmented rings

Cites Work

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• A basis for augmentation quotients of finite Abelian groups.
• The periodicity in the graded ring associated with an integral group ring