Mucuk, OsmanŞahan, Tunçar13.07.20192019-07-1613.07.20192019-07-1620191072-947Xhttps://dx.doi.org/10.1515/gmj-2018-0001https://hdl.handle.net/20.500.12451/3121The aim of this paper is to define the notion of lifting via a group morphism for a crossed module and give some properties of this type of liftings. Further, we obtain a criterion for a crossed module to have a lifting crossed module. We also prove that the category of the lifting crossed modules of a certain crossed module is equivalent to the category of group-groupoid actions on groups, where the group-groupoid corresponds to the crossed module. © 2018 Walter de Gruyter GmbH, Berlin/Boston.eninfo:eu-repo/semantics/closedAccessAction GroupoidCovering GroupoidGroup-GroupoidLifting Crossed ModuleArticle10.1515/gmj-2018-0001Q2N/A