Augmentation powers and group homology.

DOI10.1016/j.jpaa.2004.01.005zbMath1059.16017OpenAlexW2166089734MaRDI QIDQ1878425

Roman Mikhailov, Inder Bir Singh Passi

Publication date: 19 August 2004

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.01.005

zbMATH Keywords

group ringsgroup homologydimension subgroupsaugmentation powers

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Homological methods in group theory (20J05) Derived series, central series, and generalizations for groups (20F14) Ideals in associative algebras (16D25)

Related Items (4)

On Fox and augmentation quotients of semidirect products. ⋮ Homotopical and combinatorial aspects of the theory of normal series in groups. ⋮ A TRANSFINITE FILTRATION OF SCHUR MULTIPLICATOR ⋮ VARIETIES OF REPRESENTATIONS OF GROUPS AND VARIETIES OF ASSOCIATIVE ALGEBRAS

Cites Work

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• Homology in group theory
• Dimension subgroups and Schur multiplicator
• Annihilators of relation modules. II
• Group rings and their augmentation ideals
• A filtration of Schur multiplicator
• Cohomological topics in group theory.
• On the fourth integer dimension subgroup
• Free Group Rings
• Powers of the Augmentation Ideal in Group Rings of Infinite Nilpotent Groups
• The Augmentation Terminals of Certain Locally Finite Groups
• The Dimension Subgroup Conjecture
• The Group Ring Of a Class Of Infinite Nilpotent Groups

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