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
16 paź 2020
23 lis 2015
561
https://delibra.bg.polsl.pl/publication/35891
Nazwa wydania | Data |
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On verbal subgroups of finitely generated nilpotent groups | 16 paź 2020 |
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