On group automorphisms which centralize the factor group by an Abelian normal subgroup

DOI10.1016/0021-8693(85)90025-0zbMath0573.20028OpenAlexW2089381061MaRDI QIDQ1063110

Hartmut Laue

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90025-0

zbMATH Keywords

groups of automorphismscocyclesnormal Abelian subgroupscircle groups of ringscircle operationgroups of central automorphisms

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms of infinite groups (20E36) Automorphism groups of groups (20F28) Jacobson radical, quasimultiplication (16N20) Associative rings and algebras with additional structure (16W99)

Related Items (5)

Commutator closed group action ⋮ Direct decompositions of ideals and normal subgroups ⋮ A note on \(IA\)-endomorphisms of two-generated metabelian groups ⋮ Rings related to automorphism groups ⋮ A module-theoretic approach to abelian automorphism groups.

Cites Work

• Automorphisms of a \(p\)-group
• Endliche Gruppen I
• Nil Subrings of Endomorphism Rings of Modules
• The Radical and Semi-Simplicity for Arbitrary Rings
• Unnamed Item
• Unnamed Item

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