The quasi-variety of groups with trivial fourth dimension subgroup

DOI10.1515/JGT.2006.025zbMath1144.20016OpenAlexW2091332458MaRDI QIDQ5480096

Inder Bir Singh Passi, Roman Mikhailov

Publication date: 25 July 2006

Published in: jgth (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2006.025

zbMATH Keywords

varieties of groupsgroup ringsaugmentation idealslower central seriesquasivarieties of groupsinfinitely based varietiesdimension subgroups

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Quasivarieties and varieties of groups (20E10) Derived series, central series, and generalizations for groups (20F14) Quasivarieties (08C15)

Cites Work

• Dimension subgroups
• On the fourth integer dimension subgroup
• The dimension subgroup conjecture holds for odd order groups
• The Dimension Subgroup Conjecture