000056792 001__ 56792 000056792 005__ 20161018100311.0 000056792 0247_ $$2doi$$a10.1016/j.jalgebra.2015.08.030 000056792 0248_ $$2sideral$$a92274 000056792 037__ $$aART-2016-92274 000056792 041__ $$aeng 000056792 100__ $$0(orcid)0000-0002-8488-985X$$aGallego Tapia, María Pilar$$uUniversidad de Zaragoza 000056792 245__ $$a2-Engel relations between subgroups 000056792 260__ $$c2016 000056792 5060_ $$aAccess copy available to the general public$$fUnrestricted 000056792 5203_ $$aIn 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. 000056792 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/MTM2010-19938-C03-02$$9info:eu-repo/grantAgreement/ES/MINECO/MTM2014-54707-C3-1-P 000056792 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/ 000056792 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000056792 700__ $$aHauck, P. 000056792 700__ $$aPérez-Ramos, M. D. 000056792 7102_ $$12006$$2005$$aUniversidad de Zaragoza$$bDepartamento de Matemáticas$$cAlgebra 000056792 773__ $$g447 (2016), 31-55$$pJ. algebra$$tJOURNAL OF ALGEBRA$$x0021-8693 000056792 8564_ $$s152911$$uhttp://zaguan.unizar.es/record/56792/files/texto_completo.pdf$$yPostprint 000056792 8564_ $$s49072$$uhttp://zaguan.unizar.es/record/56792/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000056792 909CO $$ooai:zaguan.unizar.es:56792$$particulos$$pdriver 000056792 951__ $$a2016-10-17-16:28:26 000056792 980__ $$aARTICLE