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. 
@article{AL_2015_54_4_a5,
     author = {E. I. Timoshenko},
     title = {Endomorphisms of free solvable groups preserving primitivity of systems of elements},
     journal = {Algebra i logika},
     pages = {503--519},
     publisher = {mathdoc},
     volume = {54},
     number = {4},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2015_54_4_a5/}
}
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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/