Augmentation quotients of group rings and symmetric powers

DOI10.1017/S0305004100055651zbMath0396.20003OpenAlexW1990382522MaRDI QIDQ4179162

Ken-Ichi Tahara, Robert Sandling

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1017/s0305004100055651

zbMATH Keywords

Dimension SubgroupsN-SeriesAugmentation Ideal of An Integral Group RingAugmentation QuotientsLower Central QuotientsSymmetric Powers

Mathematics Subject Classification ID

Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Free nonabelian groups (20E05) Derived series, central series, and generalizations for groups (20F14)

Related Items

On Fox and augmentation quotients of semidirect products. ⋮ On the augmentation quotients of the IA-automorphism group of a free group. ⋮ The augmentation quotients of group rings and the fifth dimension subgroups ⋮ Some augmentation quotients of integral group rings.

Cites Work

• Polynomial maps on groups
• On the associated graded ring of a group ring
• Dimension subgroups over arbitrary coefficient rings
• The Residual Nilpotence of Wreath Products
• N-Series and Filtrations of the Augmentation Ideal
• On the Structure of Q₂(G) for Finitely Generated Groups