Nilpotence in Certain Linear Groups Over Division Rings

DOI10.1112/PLMS/S3-46.2.334zbMath0509.20034OpenAlexW2094696867MaRDI QIDQ4748349

Bertram Arthur Frederick Wehrfritz

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1112/plms/s3-46.2.334

zbMATH Keywords

central heightunipotent normal subgroupslocally nilpotent linear groupslocally nilpotent radical of linear group over skew fieldsubnormal elements

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Other matrix groups over rings (20H25) Engel conditions (20F45)

Related Items (7)

The paraheight of certain skew linear groups ⋮ Hypercentrality and hypercyclicity in skew linear groups ⋮ Soluble normal subgroups of skew linear groups ⋮ Solvable Linear Groups over Division Rings ⋮ The upper central factors of certain skew-linear groups ⋮ On certain soluble skew-linear groups ⋮ Hyperabelian skew-linear groups

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