Internal groupoid actions and liftings of crossed modules within groups with operations

Akız, Hürmet FulyaMucuk, OsmanŞahan, Tunçar13.07.20192019-07-1613.07.20192019-07-16201997807354181650094-243Xhttps://dx.doi.org/10.1063/1.5095089https://hdl.handle.net/20.500.12451/3035International Conference of Mathematical Sciences 2018, ICMS 2018 -- 31 July 2018 through 6 August 2018 -- -- 146701In this extended abstract we define the notion of lifting of a crossed module in groups with operations and state some properties of this type of liftings. Furthermore for a certain crossed module we give a categorical equivalence between the lifting of crossed modules and internal groupoid actions in groups with operations. © 2019 Author(s).eninfo:eu-repo/semantics/openAccessCrossed Module and Internal GroupoidGroup With OperationsInternal groupoid actions and liftings of crossed modules within groups with operationsConference Object208610.1063/1.5095089Q4N/A