Geodesic
Primitive elements of free groups of rank 3
Sbornik. Mathematics, Tome 73 (1992) no. 2, pp. 445-454 Cet article a éte moissonné depuis la source Math-Net.Ru

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The automorphism group of the free metabelian group $M_3$ is investigated. It is shown that $M_3$ has primitive elements not induced by primitive elements of $F_3$. A criterion is provided for elements of $M_3$ to be primitive. 
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     author = {V. A. Roman'kov},
     title = {Primitive elements of free groups of rank~3},
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}
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V. A. Roman'kov. Primitive elements of free groups of rank 3. Sbornik. Mathematics, Tome 73 (1992) no. 2, pp. 445-454. http://geodesic.mathdoc.fr/item/SM_1992_73_2_a7/

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