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

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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. 
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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/

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