Lower central and dimension series of groups.

DOI10.1007/978-3-540-85818-8zbMath1157.20002OpenAlexW4206374171MaRDI QIDQ950927

Inder Bir Singh Passi, Roman Mikhailov

Publication date: 28 October 2008

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-85818-8

zbMATH Keywords

group ringsaugmentation idealslower central seriesresidually nilpotent groupsderived seriesdimension subgroupsaugmentation powersdimension series of groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nilpotent groups (20F18) Homological methods in group theory (20J05) Resolutions; derived functors (category-theoretic aspects) (18G10) Free nonabelian groups (20E05) Residual properties and generalizations; residually finite groups (20E26) Derived series, central series, and generalizations for groups (20F14) Research exposition (monographs, survey articles) pertaining to group theory (20-02)

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