Finitary and Artinian-finitary groups over commutative rings

DOI10.1515/JGTH.2004.006zbMath1112.20047OpenAlexW2047194070MaRDI QIDQ4819952

Bertram Arthur Frederick Wehrfritz

Publication date: 5 October 2004

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth.2004.006

zbMATH Keywords

finitary linear groupscommutative ringsArtinian modulesautomorphisms of modulesArtinian-finitary automorphism groupsmetabelian subgroupsNoetherian-finitary automorphism groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings of infinite groups and their modules (group-theoretic aspects) (20C07) Generalizations of solvable and nilpotent groups (20F19) Automorphisms and endomorphisms (16W20) Other matrix groups over rings (20H25) Automorphism groups of groups (20F28) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (6)

On the structure of some minimax-antifinitary modules ⋮ Some residual properties of locally nilpotent groups. ⋮ Finitary and Artinian-finitary groups ⋮ Artinian-finitary groups are locally normal-finitary. ⋮ The similarity between finitary and Artinian-finitary groups. ⋮ On Modules with Few Minimax Cocentralizers

Cites Work

• Unnamed Item
• Automorphism groups of Noetherian modules over commutative rings
• Locally Solvable Finitary Linear Groups

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