×

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
PDF BibTeX XML Cite