An exposition of Jordan's original proof of his theorem on finite subgroups of $\GL_n(\C)$

TL;DR

This paper explains Jordan's original proof of his theorem concerning finite subgroups of invertible matrices over complex numbers, providing historical and mathematical insights.

Contribution

It offers a detailed exposition of Jordan's original proof, enhancing understanding of the classical theorem in linear algebra and group theory.

Findings

Clarifies Jordan's original proof methodology

Highlights historical context of the theorem

Provides detailed mathematical exposition

Abstract

We discuss Jordan's theorem on finite subgroups of invertible matrices and give an account of his original proof.