Geodesic
Presentations of the Free Metabelian Group of Rank 2
Canadian mathematical bulletin, Tome 37 (1994) no. 4, pp. 468-472

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Let F 3 denote the free group of rank 3 and M 2 denote the free metabelian group of rank 2. We say that x * F 3 is a primitive element of F 3 if it can be included a in some basis of F 3. We establish the existence of presentations such that N does not contain any primitive elements of F 3.
DOI : 10.4153/CMB-1994-068-9
Mots-clés : 20F05 
Evans, Martin J. Presentations of the Free Metabelian Group of Rank 2. Canadian mathematical bulletin, Tome 37 (1994) no. 4, pp. 468-472. doi: 10.4153/CMB-1994-068-9
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     title = {Presentations of the {Free} {Metabelian} {Group} of {Rank} 2},
     journal = {Canadian mathematical bulletin},
     pages = {468--472},
     year = {1994},
     volume = {37},
     number = {4},
     doi = {10.4153/CMB-1994-068-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1994-068-9/}
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