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Presentations of the Free Metabelian Group of Rank 2

Published online by Cambridge University Press:  20 November 2018

Martin J. Evans
Martin J. Evans*
Affiliation:
Department of Mathematics, University of Alabama Tuscaloosa, Alabama 35487 U.S.A.
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Abstract

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Let F3 denote the free group of rank 3 and M2 denote the free metabelian group of rank 2. We say that x * F3 is a primitive element of F3 if it can be included a in some basis of F3. We establish the existence of presentations such that N does not contain any primitive elements of F3.

Keywords

20F05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 37 , Issue 4 , 01 December 1994 , pp. 468 - 472
Copyright
Copyright © Canadian Mathematical Society 1994

References

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