Powers of the Augmentation Ideal in Group Rings of Infinite Nilpotent Groups

DOI10.1112/jlms/s2-25.1.43zbMath0451.20005OpenAlexW2032359730MaRDI QIDQ3897197

Brian Hartley

Publication date: 1982

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-25.1.43

zbMATH Keywords

nilpotent groupintegral group ringSylow p-subgroupaugmentation idealaugmentation powersintegral dimension subgroup

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nilpotent groups (20F18)

Related Items (10)

Augmentation powers and group homology. ⋮ Injective modules, localization and completion in group algebras ⋮ Hirsch-Plotkin radical of stability groups. ⋮ On the cohomology of integral p-adic unipotent radicals ⋮ Homotopical and combinatorial aspects of the theory of normal series in groups. ⋮ On varietal quotients defined by ideals generated by Fox derivatives ⋮ Some intersections and identifications in integral group rings ⋮ On the Pure Virtual Braid GroupPV₃ ⋮ Dimension subgroups and Schur multiplicator. II ⋮ Dimension subgroups and Schur multiplicator

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