Geodesic
A Note on the Hopficity of Finitely Generated Free-by-Nilpotent Groups
Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 33-34

Voir la notice de l'article provenant de la source Cambridge University Press

Our purpose is to deduce from a theorem of P. Hall the following observation. Let G be a finitely generated group and F a free normal subgroup of G with G/F nilpotent. Then G is hopfian.Here a group G is hopfian if every epiendomorphism G→G is an automorphism. 
Boler, James. A Note on the Hopficity of Finitely Generated Free-by-Nilpotent Groups. Canadian mathematical bulletin, Tome 20 (1977) no. 1, pp. 33-34. doi: 10.4153/CMB-1977-006-8
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