Augmentation quotients of some nonabelian finite groups

DOI10.1017/S0305004100055675zbMath0398.20010MaRDI QIDQ4182860

Gerald Losey, Nora Losey

Publication date: 1979

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Lower Central SeriesWeight FunctionFinite P-GroupsFiltration of The Augmentation IdealIntegral GroupNp-Series

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Integral representations of finite groups (20C10) Finite nilpotent groups, (p)-groups (20D15)

Related Items (5)

The Augmentation Quotients of the Groups of Order 2⁵, II ⋮ The stable behavior of the augmentation quotients of the groups of order \(p^3\) ⋮ 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

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• The periodicity in the graded ring associated with an integral group ring
• On the augmentation terminal of a finite Abelian group
• Polynomial maps on groups
• On the associated graded ring of a group ring
• Homological methods and the third dimension subgroup
• For all finite abelian groups of exponent 8
• N-Series and Filtrations of the Augmentation Ideal
• On the Structure of Q₂(G) for Finitely Generated Groups
• The Structure of the Group Ring of a p-Group Over a Modular Field
• Simplicial homotopy theory

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