Geodesic
Torsion-free groups with every proper homomorphic image an $\bf N_{1}$-group
Algebra and discrete mathematics, no. 2 (2004), pp. 56-58

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

In this article it is proved that a torsion-free locally nilpotent groups with non-trivial Fitting subgroup and every proper homomorphic image an $\bf N_{1}$-group is an $\bf N_{1}$-group(and so it is nilpotent).
Keywords: all subgroups subnormal, locally nilpotent groups, homomorphic image.
Mots-clés : torsion-free group 
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     author = {Selami Ercan},
     title = {Torsion-free groups with every proper homomorphic image an $\bf N_{1}$-group},
     journal = {Algebra and discrete mathematics},
     pages = {56--58},
     publisher = {mathdoc},
     number = {2},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2004_2_a6/}
}
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Selami Ercan. Torsion-free groups with every proper homomorphic image an $\bf N_{1}$-group. Algebra and discrete mathematics, no. 2 (2004), pp. 56-58. http://geodesic.mathdoc.fr/item/ADM_2004_2_a6/