Nilpotence in finitary skew linear groups

DOI10.1016/0022-4049(92)90103-MzbMath0809.20040MaRDI QIDQ1208202

Bertram Arthur Frederick Wehrfritz

Publication date: 16 May 1993

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

zbMATH Keywords

Baer radicalGruenberg radicalhypercentreFitting subgroupunipotent subgroupsHirsch-Plotkin radicalleft Engel elementscentral heightfinitary skew linear groupshypercentral radicallocally finite- dimensional division \(F\)-algebraradicals of nilpotent type

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Infinite-dimensional and general division rings (16K40) Nilpotent groups (20F18) Other matrix groups over rings (20H25) Engel conditions (20F45) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (1)

Hypercentral unipotent finitary skew linear groups

Cites Work

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• Nilpotence in finitary linear groups
• Groupes reductifs
• Strong finiteness conditions in locally finite groups
• A structure theory for Jordan algebras
• Locally Solvable Finitary Linear Groups
• Unipotent normal subgroups of skew linear groups
• Locally soluble primitive finitary skew linear groups

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