Surjectivity need not be preserved by group localizations

DOI10.1016/S0022-4049(01)00121-9zbMath1007.20053MaRDI QIDQ1612117

Gemma Bastardas

Publication date: 22 August 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

categories of groupslocalizationslocal groupssurjective homomorphismsidempotent functors

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Localization and completion in homotopy theory (55P60) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Category of groups (20J15)

Cites Work

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• Idempotent triples and completion
• Constructions of factorization systems in categories
• Cardinality and nilpotency of localizations of groups and \(G\)-modules
• Relative group completions
• Higher homotopies of natural constructions
• Epimorphisms and surjectivity
• Homotopy limits, completions and localizations
• Homological localization towers for groups and Π-modules
• Varieties of groups

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