Abelian Subgroups and Engel Elements of Soluble Groups

DOI10.1112/jlms/s2-32.3.467zbMath0585.20031OpenAlexW2040432549MaRDI QIDQ3710698

C. J. B. Brookes

Publication date: 1985

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-32.3.467

zbMATH Keywords

hypercentrederived lengthright Engel elementsfinitely generated soluble groupscentremaximal condition on abelian subgroupsfinitely generated constrained RG- module

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Chains and lattices of subgroups, subnormal subgroups (20E15) Derived series, central series, and generalizations for groups (20F14) Engel conditions (20F45)

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