Some locally nilpotent rings and their adjoined groups

DOI10.1007/BF01137426zbMath0658.16028MaRDI QIDQ1111673

S. H. Smith

Publication date: 1987

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

normal subgroupsidealsskew fieldstandard automorphismsadjoint groupassociated Lie ringcarpet subringdense chain

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms and endomorphisms (16W20) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Automorphisms of infinite groups (20E36) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items

The generalized Mal'cev problem on abelian subalgebras of the Chevalley algebras, Automorphisms of unipotent subgroups of Chevalley groups, Isomorphisms of the unitriangular groups and associated Lie rings for the exceptional dimen\-sions., Sylow subgroups of the Chevalley groups and associated (weakly) finitary groups and rings., Unnamed Item, Unnamed Item, Unnamed Item, Unnamed Item, Derivations of a matrix ring containing a subring of triangular matrices., Non-finitary generalizations of nil-triangular subalgebras of Chevalley algebras, Subgroups of a finitary linear group, Epimorphisms of infinite triangular and unitriangular matrices., Nonfinitary algebras and their automorphism groups, On Some Properties of Adjoint Groups of Associative Nil Algebras

Cites Work

• Automorphisms of certain unipotent groups
• Automorphisms of 2-groups
• Sylow p-Subgroups of the General Linear Group Over Finite Fields of Characteristic p
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