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. 
@article{AL_2001_40_2_a4,
     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/}
}
TY  - JOUR
AU  - V. A. Roman'kov
TI  - Test Elements for Free Solvable Groups of Rank~2
JO  - Algebra i logika
PY  - 2001
SP  - 192
EP  - 201
VL  - 40
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AL_2001_40_2_a4/
LA  - ru
ID  - AL_2001_40_2_a4
ER  - 
%0 Journal Article
%A V. A. Roman'kov
%T Test Elements for Free Solvable Groups of Rank~2
%J Algebra i logika
%D 2001
%P 192-201
%V 40
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AL_2001_40_2_a4/
%G ru
%F AL_2001_40_2_a4
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/