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

Akiz H. F. , MUCUK O. , Sahan T.

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

  • Cilt numarası: 2086
  • Doi Numarası: 10.1063/1.5095089
  • Basıldığı Şehir: İstanbul
  • Basıldığı Ülke: Türkiye


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.