Geodesic
Test Elements for Free Solvable Groups of Rank 2
Algebra i logika, Tome 40 (2001) no. 2, pp. 192-201

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

It is proved that a free solvable group of rank 2 of degree 3 contains test elements. Thereby we solve the Fine – Shpilrain problem posed in “The Kourovka Notebook” (Question 14.88).
Mots-clés : ree solvable group, test element. 
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     author = {V. A. Roman'kov},
     title = {Test {Elements} for {Free} {Solvable} {Groups} of {Rank~2}},
     journal = {Algebra i logika},
     pages = {192--201},
     publisher = {mathdoc},
     volume = {40},
     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2001_40_2_a4/}
}
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V. A. Roman'kov. Test Elements for Free Solvable Groups of Rank 2. Algebra i logika, Tome 40 (2001) no. 2, pp. 192-201. http://geodesic.mathdoc.fr/item/AL_2001_40_2_a4/