On small abstract quotients of Lie groups and locally compact groups

TL;DR

This paper investigates the properties of abstract epimorphisms from locally compact groups onto finitely generated groups, establishing continuity results that deepen understanding of the structure of such group homomorphisms.

Contribution

It provides new continuity results for abstract epimorphisms from locally compact groups onto finitely generated groups, advancing the theory of group homomorphisms.

Findings

Continuity results for abstract epimorphisms

Insights into the structure of locally compact groups

Enhanced understanding of quotients of Lie groups

Abstract

We prove continuity results for abstract epimorphisms of locally compact groups onto finitely generated groups.