Resumen: In this paper we study groups G generated by two subgroups A and B such that <. a, b> is nilpotent of class at most 2 for all a¿. A and b¿. B. A detailed description of the structure of such groups is obtained, generalizing the classical result of Hopkins and Levi on 2-Engel groups. Idioma: Inglés DOI: 10.1016/j.jalgebra.2015.08.030 Año: 2016 Publicado en: JOURNAL OF ALGEBRA 447 (2016), 31-55 ISSN: 0021-8693 Factor impacto JCR: 0.61 (2016) Categ. JCR: MATHEMATICS rank: 168 / 310 = 0.542 (2016) - Q3 - T2 Factor impacto SCIMAGO: 1.266 - Algebra and Number Theory (Q1)