Geodesic
Endomorphisms of free solvable groups preserving primitivity of systems of elements
Algebra i logika, Tome 54 (2015) no. 4, pp. 503-519.

Voir la notice de l'article provenant de la source Math-Net.Ru

It is proved that an endomorphism of a free metabelian group $S_r$ of any finite rank $r$ that preserves primitivity of systems of elements is an automorphism; in addition, every primitive endomorphism of a free solvable group of rank 2 is an automorphism.
Keywords: free metabelian group, free solvable group
Mots-clés : endomorphism, automorphism. 
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E. I. Timoshenko. Endomorphisms of free solvable groups preserving primitivity of systems of elements. Algebra i logika, Tome 54 (2015) no. 4, pp. 503-519. http://geodesic.mathdoc.fr/item/AL_2015_54_4_a5/

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