On extensions of algebraic groups with finite quotient

TL;DR

This paper investigates the structure of algebraic groups with finite quotients, providing a lifting property that enhances understanding of their extensions and applications.

Contribution

It introduces a new lifting property for finite quotients of algebraic groups, advancing the theoretical framework of their extensions.

Findings

Established a lifting property for finite quotients

Applied results to classify algebraic group extensions

Enhanced understanding of algebraic group structures

Abstract

We obtain a lifting property for finite quotients of algebraic groups, and applications to the structure of these groups.