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A New Proof of a Theoremof Magnus

Published online by Cambridge University Press:  20 November 2018

Sal Liriano
Sal Liriano*
Affiliation:
Department of Mathematics, CUNY Graduate Center, 33 W. 42 Street, New York, NY, USA 10036-8099, e-mail: SAL@groups.sci.ccny.cuny.edu
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Abstract

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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.

Keywords

Primary: 20E0520C99Secondary: 14Q99
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 40 , Issue 3 , 01 September 1997 , pp. 352 - 355
Copyright
Copyright © Canadian Mathematical Society 1997

References

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