Geodesic
An example of a finitely defined solvable group without the maximality condition for normal subgroups
Matematičeskie zametki, Tome 12 (1972) no. 3, pp. 287-293.

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

There is a finitely defined solvable group which does not satisfy the maximality condition for normal subgroups. This theorem gives a negative answer to one of the questions raised by P. Hall. 
@article{MZM_1972_12_3_a9,
     author = {V. N. Remeslennikov},
     title = {An example of a finitely defined solvable group without the maximality condition for normal subgroups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {287--293},
     publisher = {mathdoc},
     volume = {12},
     number = {3},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_3_a9/}
}
TY  - JOUR
AU  - V. N. Remeslennikov
TI  - An example of a finitely defined solvable group without the maximality condition for normal subgroups
JO  - Matematičeskie zametki
PY  - 1972
SP  - 287
EP  - 293
VL  - 12
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1972_12_3_a9/
LA  - ru
ID  - MZM_1972_12_3_a9
ER  - 
%0 Journal Article
%A V. N. Remeslennikov
%T An example of a finitely defined solvable group without the maximality condition for normal subgroups
%J Matematičeskie zametki
%D 1972
%P 287-293
%V 12
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1972_12_3_a9/
%G ru
%F MZM_1972_12_3_a9
V. N. Remeslennikov. An example of a finitely defined solvable group without the maximality condition for normal subgroups. Matematičeskie zametki, Tome 12 (1972) no. 3, pp. 287-293. http://geodesic.mathdoc.fr/item/MZM_1972_12_3_a9/