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.
Baza Wiedzy PŚ ; oai:delibra.bg.polsl.pl:31963
Algebra Discrete Mathematics 2009 nr 2, s. 1-10
Wydział Matematyki Stosowanej. Politechnika Śląska
Oct 16, 2020
Nov 23, 2015
561
https://delibra.bg.polsl.pl/publication/35891
Edition name | Date |
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On verbal subgroups of finitely generated nilpotent groups | Oct 16, 2020 |
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