Closure Operations and Localization of Groups

DOI10.1081/AGB-120016766zbMath1047.20043OpenAlexW1965971544MaRDI QIDQ4803361

An Descheemaeker, Scevenels, Dirk

Publication date: 2 April 2003

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

Full work available at URL: https://doi.org/10.1081/agb-120016766

zbMATH Keywords

extensionsclosure operationscategories of groupsradicalslocalizationslocal groupslocalization functorsepireflections

Mathematics Subject Classification ID

Extensions, wreath products, and other compositions of groups (20E22) Residual properties and generalizations; residually finite groups (20E26) Category of groups (20J15) Galois correspondences, closure operators (in relation to ordered sets) (06A15) Groupoids, semigroupoids, semigroups, groups (viewed as categories) (18B40)

Cites Work

• Unnamed Item
• A universal space for plus-constructions
• Universal epimorphic equivalences for group localizations
• Relative group completions
• Bousfield localization as an algebraic closure of groups
• Extending localization functors
• On the Finiteness of Certain Soluble Groups
• Homology equivalences inducing an epimorphism on the fundamental group and Quillen’s plus construction

This page was built for publication: Closure Operations and Localization of Groups