The second augmentation quotient of an integral group ring

DOI10.1007/BF01226446zbMath0404.20001OpenAlexW2153388528MaRDI QIDQ1256555

Inder Bir Singh Passi, Alfred W. Hales

Publication date: 1978

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01226446

zbMATH Keywords

Symmetric ProductLower Central SeriesAugmentation Ideal of the Integral Group RingCircle Group of a Nilpotent RingGroups of Class 2

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Extensions, wreath products, and other compositions of groups (20E22) Derived series, central series, and generalizations for groups (20F14) Units, groups of units (associative rings and algebras) (16U60)

Related Items (6)

On Engel groups, nilpotent groups, rings, braces and the Yang-Baxter equation ⋮ On circle groups of nilpotent rings of characteristic \(2\) ⋮ On the isomorphism problem for integral group-rings of circle-groups ⋮ Augmentation quotients of integral group rings. II ⋮ Braces and the Yang-Baxter equation ⋮ Some augmentation quotients of integral group rings.

Cites Work

• Unnamed Item
• Dimension subgroups over arbitrary coefficient rings
• Homological methods and the third dimension subgroup
• The Third Dimension Subgroup Mod N
• Circle Groups of Nilpotent Rings
• On the Structure of Q₂(G) for Finitely Generated Groups

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