Geodesic
On finitely generated soluble non-Hopfian groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 1, pp. 81-98

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

There is a continuum of 3-generator soluble non-Hopfian groups that generate pairwise distinct varieties of groups. Each countable (soluble) group is subnormally embeddable into a 3-generator (soluble) non-Hopfian group. As an illustration to a problem of Neumann, we find a continuum of nonmetanilpotent varieties that contain finitely generated non-Hopfian groups and contain noncountably many pairwise nonisomorphic finitely generated groups. 
@article{FPM_2009_15_1_a5,
     author = {V. H. Mikaelian},
     title = {On finitely generated soluble {non-Hopfian} groups},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {81--98},
     publisher = {mathdoc},
     volume = {15},
     number = {1},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2009_15_1_a5/}
}
TY  - JOUR
AU  - V. H. Mikaelian
TI  - On finitely generated soluble non-Hopfian groups
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2009
SP  - 81
EP  - 98
VL  - 15
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2009_15_1_a5/
LA  - ru
ID  - FPM_2009_15_1_a5
ER  - 
%0 Journal Article
%A V. H. Mikaelian
%T On finitely generated soluble non-Hopfian groups
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2009
%P 81-98
%V 15
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2009_15_1_a5/
%G ru
%F FPM_2009_15_1_a5
V. H. Mikaelian. On finitely generated soluble non-Hopfian groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 15 (2009) no. 1, pp. 81-98. http://geodesic.mathdoc.fr/item/FPM_2009_15_1_a5/