## Morphisms in the category of covering k-groups of n-groups.(English)Zbl 0556.20051

The author proves that the category $$Cov^ k_ n$$ of covering k-groups of n-groups together with the distinguished classes of regular epimorphisms and all monomorphisms forms a bicategory and that the category $$Cov^ k_ n$$ together with the distinguished classes of all epimorphisms and regular monomorphisms forms also a bicategory. The author studies also some classes of morphisms in $$Cov^ k_ n$$.
Reviewer: B.Gleichgewicht

### MSC:

 20N15 $$n$$-ary systems $$(n\ge 3)$$ 20L05 Groupoids (i.e. small categories in which all morphisms are isomorphisms) 18A20 Epimorphisms, monomorphisms, special classes of morphisms, null morphisms

### Keywords:

covering k-groups; n-groups; regular epimorphisms; bicategory