A characterization of categorically compact locally nilpotent groups

DOI10.1080/00927879408825025zbMath0805.20028OpenAlexW2089252289MaRDI QIDQ4300610

Temple H. Fay, Gary Lee Walls

Publication date: 16 August 1994

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

Full work available at URL: https://doi.org/10.1080/00927879408825025

zbMATH Keywords

closed subgroupsgeneralized nilpotent groupslocally nilpotent groupradicable groupscategorically compacttorsion-free imagecategorically compact groupscentrally divisible

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Generalizations of solvable and nilpotent groups (20F19) Category of groups (20J15)

Related Items (8)

Regular and normal closure operators and categorical compactness for groups ⋮ Categorically compact topological groups ⋮ COMPLETIONS AND CATEGORICAL COMPACTNESS FOR NILPOTENT GROUPS ⋮ \(c\)-compactness in locally compact groups and paratopological groups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ \(\overline R\)-groups ⋮ Compactness and connectedness in topological groups

Cites Work

• Unnamed Item
• Unnamed Item
• Factorizations, denseness, separation, and relatively compact objects
• Closure operators. I
• p-adic and p-cotorsion completions of nilpotent groups
• Nilpotent groups
• Some aspects of groups with unique roots
• Factorizations, injectivity and compactness in categories of modules
• Compact modules
• Categorically compact locally nilpotent groups:a corrigendum
• Categorically compact locally nilpotent groups
• Compact nilpotent groups
• Compact Hausdorff objects

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