Geodesic
On verbal subgroups of finitely generated nilpotent groups
Algebra and discrete mathematics, no. 2 (2009), pp. 1-10

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The paper concerns the problem of characterization of verbal subgroups in finitely generated nilpotent groups. We introduce the notion of verbal poverty and show that every verbally poor finitely generated nilpotent group is a finite $p$-group with the lower $p$-central series for certain prime $p$. We conclude with few examples of verbally poor groups.
Keywords: finitely generated nilpotent groups, verbal subgroups. 
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     author = {Agnieszka Bier},
     title = {On verbal subgroups of finitely generated nilpotent groups},
     journal = {Algebra and discrete mathematics},
     pages = {1--10},
     publisher = {mathdoc},
     number = {2},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2009_2_a0/}
}
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Agnieszka Bier. On verbal subgroups of finitely generated nilpotent groups. Algebra and discrete mathematics, no. 2 (2009), pp. 1-10. http://geodesic.mathdoc.fr/item/ADM_2009_2_a0/