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arXiv · 2211.09989

A simple construction of infinite finitely generated torsion groups

D. Osin
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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 $G$ such that every element of $G$ 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.

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D. Osin. 2022-11-18. A simple construction of infinite finitely generated torsion groups. https://arxiv.org/abs/2211.09989

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