Title:

On verbal subgroups of finitely generated nilpotent groups

Creator:

Bier, Agnieszka

Abstract:

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:

skończenie generowane grupy nilpotentne ; podgrupa werbalna

Date:

2009

Format:

application/pdf

Resource Identifier:

Baza Wiedzy PŚ

Source:

Algebra Discrete Mathematics 2009 nr 2, s. 1-10

Language:

eng

Relation:

Wydział Matematyki Stosowanej. Politechnika Śląska

Access:

zasób dostępny bez ograniczeń

Licence:

CC BY 3.0