Document Type: Proceedings of the conference "Engel conditions in groups" - Bath - UK - 2019
Universit&agrave; della Campania &quot;Luigi Vanvitelli&quot; - Caserta - Italy
Università di Salerno - Fisciano - Italy
The eighth edition of the international series of Groups St Andrews conferences was held at the University of Bath in 2009 and one of the theme days was dedicated to Engel groups. Since then much attention has been devoted to a verbal generalization of Engel groups. In this paper we will survey the development of this investigation during the last decade.