The stable behavior of the augmentation quotients of the groups of order \(p^3\)

DOI10.1016/0021-8693(79)90087-5zbMath0425.20004OpenAlexW1964092233MaRDI QIDQ1135354

Gerald Losey, Nora Losey

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90087-5

zbMATH Keywords

augmentation quotientsassociated graded ring of the group ringaugmentation ideal of the integral group ring

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Finite nilpotent groups, (p)-groups (20D15)

Related Items (4)

The Augmentation Quotients of the Groups of Order 2⁵, II ⋮ The Stable Behavior of the Augmentation Quotients of the Groups of Order p⁵, I ⋮ The Augmentation Quotients of the Groups of Order 2⁵, I ⋮ On the Structure of Augmentation Quotient Groups for the Generalized Quaternion Group

Cites Work

• The periodicity in the graded ring associated with an integral group ring
• Polynomial maps on groups
• The associated graded ring of an integral group ring
• For all finite abelian groups of exponent 8
• Augmentation quotients of some nonabelian finite groups
• The Associated Graded Ring of a Group Ring
• N-Series and Filtrations of the Augmentation Ideal

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