Engel Elements of Soluble Groups

DOI10.1112/blms/18.1.7zbMath0556.20028OpenAlexW2007040002MaRDI QIDQ3220749

C. J. B. Brookes

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1112/blms/18.1.7

zbMATH Keywords

hypercentrefinitely generated soluble groupconstrained \({\mathbb{Z}}G\)-modulesright Engel element

Mathematics Subject Classification ID

Solvable groups, supersolvable groups (20F16) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Engel conditions (20F45)

Related Items (12)

Properties of Abelian-by-cyclic shared by soluble finitely generated groups ⋮ Normal right Engel subgroups of compact Hausdorff groups ⋮ Groups covered by finitely many nilpotent subgroups ⋮ Groups having many 2-generated subgroups in a given class ⋮ On the structure of some infinite dimensional linear groups ⋮ A note on torsion-by-nilpotent groups. ⋮ On right \(n\)-Engel subgroups. II. ⋮ On right \(n\)-Engel subgroups. ⋮ Non-Nilpotent Graph of a Group ⋮ Engel-like elements in infinite soluble groups ⋮ ON GROUPS WITH A FINITE NUMBER OF NORMALISERS ⋮ On Certain Weak Engel-Type Conditions in Groups

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