1. CMB 1997 (vol 40 pp. 352)
|A New Proof of a Theorem of Magnus |
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 $n-m$.
Categories:20E05, 20C99, 14Q99