Solutions of equations over \(\omega\)-nilpotent groups

DOI10.1216/RMJ-1987-17-4-845zbMath0641.20025MaRDI QIDQ1100557

Steve M. Gersten

Publication date: 1987

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

uniqueness of solutionsgroup of unitslower central seriesintegral group ringaugmentation idealequations over \(\omega \)-nilpotent groupsresidually nilpotent group

Mathematics Subject Classification ID

Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Nilpotent groups (20F18) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Residual properties and generalizations; residually finite groups (20E26) Units, groups of units (associative rings and algebras) (16U60)

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