We prove a new localization theorem for algebraic stable categories when the localizing subcategory is generated by a precovering class in the model category. We use this to show how one may explicitly realize certain Bousfield localization functors that arise naturally in the study of relative homological algebra of groups.
"Precovers, localizations, and stable homotopy." Homology Homotopy Appl. 10 (2) 257 - 272, 2008.