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# A New Proof of a Theorem of Magnus

Published:1997-09-01
Printed: Sep 1997
• Sal Liriano
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## Abstract

Using naive algebraic geometric methods a new proof of the following celebrated theorem of Magnus is given: Let $G$ be a group with a presentation having $n$ generators and $m$ relations. If $G$ also has a presentation on $n-m$ generators, then $G$ is free of rank $n-m$.
 MSC Classifications: 20E05 - Free nonabelian groups 20C99 - None of the above, but in this section 14Q99 - None of the above, but in this section