Universal epimorphic equivalences for group localizations

DOI10.1016/S0022-4049(98)00157-1zbMath0960.20034OpenAlexW1998239573MaRDI QIDQ1568753

Scevenels, Dirk, José Luis Rodríguez

Publication date: 7 May 2001

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

Full work available at URL: https://doi.org/10.1016/s0022-4049(98)00157-1

zbMATH Keywords

epimorphismshomomorphismsextensions of groupslocal groupsepimorphic localizationsgroup localizationsnullifications

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Localization and completion in homotopy theory (55P60) Automorphisms of infinite groups (20E36) Extensions, wreath products, and other compositions of groups (20E22) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20) Category of groups (20J15)

Related Items (8)

Closure Operations and Localization of Groups ⋮ Generators and closed classes of groups ⋮ Relative group completions ⋮ Conditionally flat functors on spaces and groups ⋮ Homology equivalences inducing an epimorphism on the fundamental group and Quillen’s plus construction ⋮ The \(A\)-core and \(A\)-cover of a group. ⋮ Epireflections and supercompact cardinals ⋮ Implications of large-cardinal principles in homotopical localization

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