| Date: |
2003 |
| Abstract: |
In this note, we consider some combinatorial conditions on infinite subsets of groups and we obtain in terms of these conditions some characterizations of the classes L(Nk)F and FL(Nk) for the finitely generated centre-by-metabelian groups, where L(Nk) (respectively, F) denotes the class of groups in which the normal closure of each element is nilpotent of class at most k (respectively, finite groups). |
| Rights: |
Tots els drets reservats.  |
| Language: |
Anglès |
| Document: |
Article ; recerca ; Versió publicada |
| Subject: |
Engel conditions ;
Finitely generated soluble groups ;
Levi classes ;
Nilpotent groups |
| Published in: |
Publicacions matemàtiques, V. 47 N. 2 (2003) , p. 451-457, ISSN 2014-4350 |
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