Hyperabelian skew-linear groups

DOI10.1016/0021-8693(84)90209-6zbMath0546.20045OpenAlexW2042125987MaRDI QIDQ798443

Bertram Arthur Frederick Wehrfritz

Publication date: 1984

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(84)90209-6

zbMATH Keywords

division ringlocally finite-dimensionaltorsion-free hyperabelian subgroupunion of normal subgroups

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Subgroup theorems; subgroup growth (20E07) Chains and lattices of subgroups, subnormal subgroups (20E15) Other matrix groups over rings (20H25) 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 ⋮ Derived length of a Frobenius-like kernel.

Cites Work

• Unnamed Item
• On certain soluble skew-linear groups
• The upper central factors of certain skew-linear groups
• The structure of several classes of matrix groups over a division ring
• Complete Reducibility in Skew Linear Groups
• Observations on group rings
• Nilpotence in Certain Linear Groups Over Division Rings
• Varieties of groups

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