Sjogren's theorem on dimension subgroups

DOI10.1016/0022-4049(87)90048-XzbMath0633.20004MaRDI QIDQ1096004

Gerald H. Cliff, Brian Hartley

Publication date: 1987

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

zbMATH Keywords

presentationsperiodicitylower central seriesintegral group ringaugmentation idealrelatorsdimension subgroupSjogren's Theorem

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Derived series, central series, and generalizations for groups (20F14)

Related Items (3)

Sjogren's theorem on dimension subgroups ⋮ Dimension subgroups of metabelian p-groups ⋮ Dimension quotients of metabelian Lie rings

Cites Work

• Lie elements and an algebra associated with shuffles
• Sjogren's theorem on dimension subgroups
• Dimension subgroups of metabelian p-groups
• The augmentation quotients of group rings and the fifth dimension subgroups
• Dimension and lower central subgroups
• On the fourth integer dimension subgroup
• Observations on group rings
• The Group Ring Of a Class Of Infinite Nilpotent Groups
• Free differential calculus. IV: The quotient groups of the lower central series
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