A basis for augmentation quotients of finite Abelian groups.

DOI10.1016/j.jalgebra.2010.08.020zbMath1232.20006OpenAlexW2052589555MaRDI QIDQ536031

Shan Chang, Guoping Tang

Publication date: 16 May 2011

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2010.08.020

zbMATH Keywords

finite Abelian groupsaugmentation idealsintegral group ringsaugmentation quotients

Mathematics Subject Classification ID

Group rings (16S34) Finite abelian groups (20K01) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

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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 complex representation rings of dihedral groups. ⋮ Augmentation quotients for real representation rings of cyclic groups ⋮ The Stable Behavior of the Augmentation Quotients of the Groups of Order p⁵, I ⋮ Stability in graded rings associated with commutative augmented rings

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