Geodesic
Primitivity in Free Groups and Free Metabelian Groups
Canadian journal of mathematics, Tome 44 (1992) no. 3, pp. 516-523

Voir la notice de l'article provenant de la source Cambridge University Press

Let Mn, c denote the free n-generator metabelian nilpotent group of class c. For m ≤ n – 2, every primitive system of m elements of Mn, c can be lifted to a primitive system of m elements of the absolutely free group Fn of rank n. The restriction on m cannot be improved.
DOI : 10.4153/CJM-1992-033-0
Mots-clés : 20F28, 20F18 
Gupta, C. K.; Gupta, N. D.; Roman'kov, V. A. Primitivity in Free Groups and Free Metabelian Groups. Canadian journal of mathematics, Tome 44 (1992) no. 3, pp. 516-523. doi: 10.4153/CJM-1992-033-0
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