A simple construction of infinite finitely generated torsion groups
Group Theory
2023-06-02 v3
Abstract
The goal of this note is to provide yet another proof of the following theorem of Golod: there exists an infinite finitely generated group such that every element of has finite order. Our proof is based on the Nielsen-Schreier index formula and is simple enough to be included in a standard group theory course.
Keywords
Cite
@article{arxiv.2211.09989,
title = {A simple construction of infinite finitely generated torsion groups},
author = {D. Osin},
journal= {arXiv preprint arXiv:2211.09989},
year = {2023}
}
Comments
The idea of the proof is not really original. The paper is written for expository purposes