On certain soluble skew-linear groups

DOI10.1016/0022-4049(83)90108-1zbMath0514.20032OpenAlexW2057776866MaRDI QIDQ1051091

Bertram Arthur Frederick Wehrfritz

Publication date: 1983

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(83)90108-1

zbMATH Keywords

general linear groupunipotent radicallocally nilpotent subgroupslocally soluble subgroupmatrix groups over skew fieldsmetabelian subgroup

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Derived series, central series, and generalizations for groups (20F14) Local properties of groups (20E25) Linear algebraic groups over adèles and other rings and schemes (20G35) Division rings and semisimple Artin rings (16Kxx)

Related Items (4)

The paraheight of certain skew linear groups ⋮ Hypercentrality and hypercyclicity in skew linear groups ⋮ Soluble normal subgroups of skew linear groups ⋮ Hyperabelian skew-linear groups

Cites Work

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• The upper central factors of certain skew-linear groups
• Strong finiteness conditions in locally finite groups
• The structure of several classes of matrix groups over a division ring
• Observations on group rings
• Nilpotence in Certain Linear Groups Over Division Rings
• Endliche Gruppen I

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