A simple construction of finitely generated infinite torsion groups

  • Denis Osin

    Vanderbilt University, Nashville, USA
A simple construction of finitely generated  infinite torsion groups cover

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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 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.

Cite this article

Denis Osin, A simple construction of finitely generated infinite torsion groups. Enseign. Math. (2024), published online first

DOI 10.4171/LEM/1073