Singularities of quasiregular mappings on Carnot groups

Abstract

In 1970 Poletski˘ı applied the method of the module of a family of curves
to describe behavior of quasiregular mappings (in another terminology mappings with bounded distortion) in \(\mathbb{R}^2\)  In the present paper we generalize a result by Poletski˘ı and study a singular set of a quasiregular mapping using the method of the module of a families of curves on Carnot groups.