Irreducible locally nilpotent finitary skew linear groups

DOI10.1017/S0013091500006209zbMath0836.20073MaRDI QIDQ4697885

Bertram Arthur Frederick Wehrfritz

Publication date: 18 April 1996

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

zbMATH Keywords

division ringscountable \(p\)-groupsfinitary general linear groupslocally nilpotent irreducible subgroups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Nilpotent groups (20F18) Other matrix groups over rings (20H25)

Related Items (6)

Primitive finitary skew linear groups ⋮ Hypercentral unipotent finitary skew linear groups ⋮ Locally soluble primitive finitary skew linear groups ⋮ Some linear groups with G-core-free subspaces ⋮ On nonmodular periodic finitary linear groups ⋮ Finitary groups and rings

Cites Work

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• Algebras generated by locally nilpotent finitary skew linear groups
• Locally soluble finitary skew linear groups
• Soluble and locally soluble skew linear groups
• The lawlessness of groups of finitary permutations
• Some nilpotent and locally nilpotent matrix groups
• Completely reducible infinite-dimensional skew linear groups
• Applications of a New K-Theoretic Theorem to Soluble Group Rings
• Finite Dimensional Subalgebras in Matrix Rings Over Transcendental Division Algebras

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