Geodesic
Relatively free, nearly nilpotent groups
Matematičeskie zametki, Tome 11 (1972) no. 2, pp. 175-182

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We show that a free nilpotent group of countable rank, as well as a free group of countable rank of the variety defined by the identity $[[x_1,x_2,\dots,x_n],[x_{n+1},x_{n+2}]]=1$, satisfies the maximal condition for normal subgroups admitting endomorphisms induced by order preserving one-to-one mappings of the set of free generators into itself. 
@article{MZM_1972_11_2_a6,
     author = {I. D. Ivanyuta},
     title = {Relatively free, nearly nilpotent groups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {175--182},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_11_2_a6/}
}
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I. D. Ivanyuta. Relatively free, nearly nilpotent groups. Matematičeskie zametki, Tome 11 (1972) no. 2, pp. 175-182. http://geodesic.mathdoc.fr/item/MZM_1972_11_2_a6/