A remark on Whitehead's Lemma

TL;DR

This paper highlights that Whitehead's lemma can be directly derived from Stallings folds, providing a new perspective on the lemma's proof.

Contribution

It reveals a novel connection between Whitehead's lemma and Stallings folds, simplifying the understanding of the lemma.

Findings

Whitehead's lemma follows from Stallings folds

Provides a new proof approach for Whitehead's lemma

Simplifies the conceptual understanding of the lemma

Abstract

We observe that Whitehead's lemma is an immediate consequence of Stallings folds.