Algebras generated by locally nilpotent finitary skew linear groups

DOI10.1016/0022-4049(93)90031-NzbMath0795.16016MaRDI QIDQ686047

Bertram Arthur Frederick Wehrfritz

Publication date: 8 September 1994

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

zbMATH Keywords

group ringscrossed productdivision ringprime ringendomorphism ringlocally nilpotentfinitary \(D\)-automorphismsfinite rank endomorphismlocal FC-center

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Group rings (16S34) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generalizations of solvable and nilpotent groups (20F19) Automorphisms and endomorphisms (16W20) Infinite-dimensional and general division rings (16K40) Other matrix groups over rings (20H25) Local properties of groups (20E25) Twisted and skew group rings, crossed products (16S35) Units, groups of units (associative rings and algebras) (16U60)

Related Items (2)

Primitive finitary skew linear groups ⋮ Irreducible locally nilpotent finitary skew linear groups

Cites Work

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• The Engel elements of a soluble group
• The lawlessness of groups of finitary permutations
• Nilpotence in finitary linear groups
• Strong finiteness conditions in locally finite groups
• Observations on group rings
• Locally Nilpotent Finitary Skew Linear Groups
• Locally soluble primitive finitary skew linear groups

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