Powerful 3-Engel groups
Iker de las Heras, Marialaura Noce, Gunnar Traustason
TL;DR
This paper investigates powerful 3-Engel groups, establishing precise upper bounds for their nilpotency class and that of their metabelian subclasses, advancing understanding of their algebraic structure.
Contribution
It provides new sharp upper bounds for the nilpotency class of powerful 3-Engel groups and their metabelian subclasses, which was previously unknown.
Findings
Sharp upper bounds for nilpotency class of powerful 3-Engel groups
Upper bounds for powerful metabelian 3-Engel groups
Enhanced understanding of algebraic structure of these groups
Abstract
In this paper we study powerful 3-Engel groups. In particular, we find sharp upper bounds for the nilpotency class of powerful 3-Engel groups and the subclass of powerful metabelian 3-Engel groups.
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Taxonomy
TopicsFinite Group Theory Research · graph theory and CDMA systems · Geometric and Algebraic Topology