Abstract
In this paper we study finite powerful 3-Engel groups. In particular, we find sharp upper bounds for the nilpotency class of finite powerful 3-Engel groups and in the subclass of finite powerful metabelian 3-Engel groups.
| Original language | English |
|---|---|
| Article number | 107650 |
| Journal | Journal of Pure and Applied Algebra |
| Volume | 228 |
| Issue number | 7 |
| Early online date | 28 Feb 2024 |
| DOIs | |
| Publication status | Published - 31 Jul 2024 |
Funding
The first author is supported by the Spanish Government, grant PID2020-117281GB-I00, partly with FEDER funds. The second author is partially supported by project SERICS (PE00000014) under the MUR National Recovery and Resilience Plan funded by the European Union - NextGenerationEU, and partially by the “National Group for Algebraic and Geometric Structures, and their Applications” (GNSAGA - INdAM).
| Funders | Funder number |
|---|---|
| Istituto Nazionale di Alta Matematica "Francesco Severi" | |
| Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni | |
| European Commission | |
| European Regional Development Fund | PE00000014 |
Keywords
- Engel groups
- Metabelian groups
- Nilpotency class
- Powerful groups
ASJC Scopus subject areas
- Algebra and Number Theory