International Conference of Mathematical Sciences (ICMS), İstanbul, Türkiye, 31 Temmuz - 06 Ağustos 2018, cilt.2086
In 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.