Dimension and lower central subgroups

DOI10.1016/0022-4049(79)90006-9zbMath0395.20019OpenAlexW2014154590MaRDI QIDQ1252939

Jon A. Sjogren

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0022-4049(79)90006-9

zbMATH Keywords

Augmentation Ideal of The Integral Group RingDimension SubgroupsGraded Lie AlgebraLower Central SeriesSpectral Sequences

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Homological methods in group theory (20J05) Derived series, central series, and generalizations for groups (20F14) Associated Lie structures for groups (20F40)

Related Items (16)

Unnamed Item ⋮ Sjogren's theorem on dimension subgroups ⋮ Dimension subgroups of metabelian p-groups ⋮ Groups with non-central dimension quotients ⋮ Lie dimension subrings ⋮ Group and Lie algebra filtrations and homotopy groups of spheres ⋮ Quotient groups of IA-automorphisms of a free group of rank 3 ⋮ The augmentation quotients of group rings and the fifth dimension subgroups ⋮ Dimension quotients of metabelian Lie rings ⋮ Homotopical and combinatorial aspects of the theory of normal series in groups. ⋮ Dimension and lower central subgroups of metabelian p-groups ⋮ Review and some critical comments on a paper of Grün concerning the dimension subgroup conjecture ⋮ On group ring quotients of divisible groups ⋮ Dimension subgroups and Schur multiplicator ⋮ Augmentation quotients and dimension subgroups of semidirect products ⋮ A solution of the dimension subgroup problem

Cites Work

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• Lie elements and an algebra associated with shuffles
• Dimension subgroups
• On the structure of Hopf algebras
• A vanishing theorem for the unstable Adams spectral sequence
• On the associated graded ring of a group ring
• On the fourth integer dimension subgroup
• Integration in free groups
• Free differential calculus. IV: The quotient groups of the lower central series
• Simplicial homotopy theory

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